Two stakes are holding a small blimp in place. Stake A measures

an angle of elevation of 49° and Stake B measures an angle of

elevation of 58º. If the string attached to Stake A has a length of

148 feet, what is the length of the string attached to Stake B?

Answers

Answer 1

Answer: 131.7 ft

Step-by-step explanation: use 148 as side measure b, then solve for measure of side a

with two given angles and one given side, use law of sines.

a = b•sin(A)/sin(B) = 131.71071

c = b•sin(C)/sin(B) = 166.89278

if you want to find angle measures:

180-A-B

180-49-58=73

C=73

Answer 2

The length of the string attached to stake B is 166.3 feet.

What is trigonometry?

Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.

For the given situation,

An angle of elevation of stake A = 49°

The length of the string attached to stake A,a = 148 feet

An angle of elevation of stake B = 58°

Let the length of the string attached to stake B be b.

Then by law of sines,

[tex]\frac{Sine A}{a}=\frac{Sine B}{b}[/tex]

On substituting the above values,

⇒ [tex]\frac{Sine 49}{148}=\frac{Sine 58}{b}[/tex]

⇒ [tex]b=\frac{(Sine 58)(148)}{Sine49}[/tex]

⇒ [tex]b=\frac{(0.8480)(148)}{0.7547}[/tex]

⇒ [tex]b=166.29[/tex] ≈ [tex]166.3[/tex]

Hence we can conclude that the length of the string attached to stake B is 166.3 feet.

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Related Questions

HELP PELASEKDMDDJJDDJD

Answers

Answer: A line segment

Explanation:

Since the line is straight, line segment for me. Hope it helps!

Answer:

A line

Step-by-step explanation:

Roughly, we can say that a line is an infinitely thin, infinitely long collection of points extending in two opposite directions. When we draw lines in geometry, we use an arrow at each end to show that it extends infinitely.

_______
|/ |
| (_)
| \|/
| |
| / \
|
jgs_|___

Answers

Answer:

B

Step-by-step explanation:

Which pair of Earth's sphere's interact the most when ocean waves break onto a beach?
atmosphere and blosphere
geosphere and atmosphere
hydrosphere and biosphere
geosphere and hydrosphere

Answers

Answer:

Step-by-step explanation:

The answer is geosphere and hydrosphere

help thank you very much​

Answers

Answer:

B: 76

Step-by-step explanation:

I have to put an explanation.I don't have an explanation.

Giving brainlist to whoever answers

Answers

Answer:

132.7

Step-by-step explanation:

answer : 132.7

Explanation:
V = a^3

V=5.1^3

= 132.65 but you want to round to nearest which would be 132.7in^3

HELP PLS: A store receives a shipment of 5,000 MP3 players. In a previous shipment of 5,000 MP3 players, 300 were defective.
A store clerk generates random numbers to simulate a random sample of this shipment. The clerk lets the numbers 1
through 300 represent defective MP3 players, and the numbers 301 through 5,000 represent working MP3 players.
The results are given.
13 2,195 3,873 525 900 1 67 1,094 1,472 709 5,000
Based on the sample, how many of the MP3 players might the clerk predict would be defective?

Answers

Answer: 1,000 players

Step-by-step explanation: The result has two values between 1 through 300

out of the 10 value in the sample so the clerk would predict 5,000 *[tex]\frac{2}{10}[/tex]=1,000 defective players.

Lindsay got her haircut the cost of a haircut for $16 if she wants to tip for hairstylist 20% how much does she leave for the tip

Answers

Answer:

$3.20

Step-by-step explanation:

I hope this helps.

Sorry if I'm wrong.

easy question!!
1. What is the surface area of a rectangular prism with a height of 8 feet, a width of 3 feet, and a length of 4 feet?

288 ft2
160 ft2
136 ft2
264 ft2

Answers

Answer:

136 ft^2

Step-by-step explanation:

Surface area = 2 [ (l*w) + (l*h) + (w*h) ]

= 2 [ (8*3) + (8*4) + (4*3) ]

= 136 ft^2

I need help with that

Answers

Answer:

the triangle with 15 mini-squares

Jackie bought a 3-pack of tubes of glue. She used 0.27 ounce of the glue from the 3-pack
and had 1.35 ounces left in total. Which describes a way to determine the number of ounces
sold in each tube of glue?
Divide 1.35 by 3 and then subtract 0.27 from the quotient.
Solve for in the equation 3 (x - 0.27) = 1.35.
Solve for x in the equation 3x - 0.27 = 1.35.
Subtract 0.27 from 1.35 and the divide the difference by 3.

Answers

Answer:

The answer is (A)

Step-by-step explanation:

:D

Answer:

Solve for in the equation 3 (x- 0.27)= 1.35

Step-by-step explanation:

First you look at a diagram and notice that you are moving forward so you are multiplying the 3 pack of tubes by the 0.27 ounce of glue  to get your answer of 1.35

57:23


A medical researcher has two petri dishes containing viruses. Dish B has a population density of 1.2 viruses per square


millimeter. Dish A has an area of about 2,826 square millimeters


If both petri dishes have the same population density, approximately how many viruses are in Dish A?


O


O


O


O


2,355 viruses


3,391 viruses


23,550 viruses


33,912 viruses


Save and Exit


Neyli


Submit


Mark this and retum

Answers

Answer:

the number of viruses are in Dish A is 3,391 viruses

Step-by-step explanation:

The computation of the number of viruses are in Dish A is shown below:

Since there are 2826 square milimeters area

And, the population density of 1.2 viruses per square

So, the number of viruses in Dish A is

= 2826 × 1.2

= 3,391.2v viruses

Hence, the number of viruses are in Dish A is 3,391 viruses

The answer is B. 3,391 viruses

Good luck :)

What is y +9 =2(x +5) in slope intercept form?

Answers

Answer:

y=2x+1

Step-by-step explanation:

the form us y=mx+c

Answer: y = mx + b. y = -7

Step-by-step explanation: Hope this helps.

can someone explain how to do this?​

Answers

Answer: a - parallel b - neither c - neither d - perpindicular

Step-by-step explanation:

Please find the area of the shaded region. Assume the outside shape is a square. 30 m 15 m 45 m​

Answers

Answer:

Shaded region is the difference of the areas of the parallelogram and the square:

A = 45*30 - 15² = 1125 m²

Answer:

area of shaded region=1125m²

Solution given:

base of parallelogram [b]=45m

height of parallelogram [h]=30m

length of square [l]=15m

we have

Area of shaded region =Area of {parallelogram -square]

=b×h-l²=45×30-15²=1125m²

PLEASE HELP!!!!!!!!!!!!​

Answers

The photo isn't clear but

1st one is increasing slope

2nd is decreasing slop

3rd one also increasing

4th one is undefined slope Cuz its vertical slope

5th one sry I don't know

6th one is 0 Cuz it's horizontal line

I tried my best

Expressions with Irrational Numbers: Mastery Test 1 Type the correct answer in the box. The product of 2/3 and 3v12 in simplified form is Reset

Answers

Answer:

[tex]$\frac{1}{6}$[/tex]

Step-by-step explanation:

Expressing the irrational numbers into its simplified form :

Given :

The product of  [tex]$\frac{2}{3}$[/tex]  and  [tex]$\frac{3}{12}$[/tex]

Therefore,  

[tex]$=\frac{2}{3} \times \frac{3}{12}$[/tex]

[tex]$=\frac{2}{12}$[/tex]

[tex]$=\frac{1}{6}$[/tex]

So the simplified form is [tex]$\frac{1}{6}$[/tex]

question 7 ! I don’t understand some one explain

Answers

Answer:

4x +8 -x + 10 = x+4

3x+18= x+4

2x= -14

×=-7

Sarah earns $400 per week and spends 15% of her earnings on transportation. How much does Sarah spend on transportation every week? *

Answers

Answer:

60 dollars a week.

Step-by-step explanation:

Just take 15 percent of 400, then you get your answer

think of it like this: ?/400$ = 15/100. We are trying to find 15 % of 400, so that’s what the “?” represents.
thinking of it like fractions, cross multiply the numbers you have in this situation (400x15) =6,000
then you divide that answer by the number left (100)
(6,000 / 100) = 60

So the answer is 60$, 15% of 400$ is 60$

How many more students read exactly 6 books than those who read less than 4 books?

Answers

Assuming each X represents 1 student. 1 more student read 6 books than less than 4. 6 books has 6 Xs and 2 books has 5 Xs.

Answer: 1

the are of the trapezoid is 24 Square km . What is the height?


2km
4km
16km
5km​

Answers

Answer:

4

Step-by-step explanation:

9+3=12

12x1/2=24

24/6=4

h=4

Height of trapezoid is,

⇒ h = 4 km

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The area of the trapezoid is 24 Square km.

We know that;

Area of Trapezoid = (a + b) h / 2

Here, A = 24 km² , a = 3 km , b = 9 km

Hence, We get;

24 = (3 + 9) h / 2

48 = 12h

h = 48 / 12

h = 4 km

Thus, Height of trapezoid is,

⇒ h = 4 km

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Here are the ingredients for making fish pie for 6 people.
Fish pie for 6 people
180 g flour
240 g fish
80 g butter
4 eggs
180 ml milk
Jill makes a fish pie for 3 people. Work out how much flour she needs.

Answers

Step-by-step explanation:

Given

6 people = 180g flour

1 person = 180/6 = 30g flour

3 people = 3 x 30 = 90g flour

Explanation
Step 1 = 180g for 6 people
Step 2 = first u need to find how much for one person u do that by dividing 180 by 6 which is 30
step 3 = now that u know 30 is for one person u times 30 by 3 = 90
Step 4 = so the answer is 90g

What are the steps to solving the inequality 3b + 8 2 14?
O Subtract 8 from both sides of the inequality. Divide both sides of the inequality by 3.
O Subtract 8 from both sides of the inequality. Change the direction of the inequality. Divide both sides of the
inequality by 3.
O Divide both sides of the inequality by 3. Subtract 8 from both sides of the inequality.
O Divide both sides of the inequality by 3. Change the direction of the inequality. Subtract 8 from both sides of the
inequality.​

Answers

Answer:

Subtract 8 from both sides of the inequality. Divide both sides of the inequality by 3.

Step-by-step explain

The given inequality is 3b + 8 ≥ 14

We need to solve the given inequality

Step 1.

Subtract 8 to the both sides of the inequality

3b + 8 - 8 ≥ 14 -8

3b ≥ 6

Dividing both sides by 3

b ≥ 2

The value of b is greater than and equal to 2.

the correct answer is a.  

Jim rented a truck for one day. There was
base fee of $17.95, and there was an additional charge of 87 cents for each mile driven, Jim had to pay $153.67
when he returned the truck. For how many miles did he drive the truck?

Answers

Make an equation
Y = 17.95 + 0.87x
Y = total cost, x = miles
153.67 = 17.95 + 0.87x
135.72 = 0.87x
x = 156 miles

Answer:

Jim drove the truck 156 miles

Step-by-step explanation:

Represent the number of miles driven with x.

Then the formula for the total rental cost is C(x) = $17.95 + ($0.87/mile)x, and this comes to $153.67.  Solve for x:

$153.67 - $17.95 = ($0.87/mile)x, or

$135.72 = ($0.87/mile)x

Dividing both sides by ($0.87/mile), we get:

x = 156

Jim drove the truck 156 miles

Since triangle 2 is a right triangle, write an equation applying the Pythagorean Theorem to the triangle.

Answers

Answer: a^+b^2=n^2

Step-by-step explanation:

The equation for triangle 2 will be: a² + b² = n².

What is Pythagorean theorem?

Pythagorean theorem states that for a right-angle triangle, the sum of the squares of the base and the height is equal to the square of the hypotenuse of that triangle.

Here, the angle between side: a and side: b is a right-angle.

Therefore, we can consider side: a as the height and side: b as the base of the triangle.

Therefore we can write as per the Pythagorean theorem:

(Base)² + (Height)² = (Hypotenuse)²

Hence, a² + b² = n²

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write an equation that describes the line: a line has a slope of 2 and passes through thr point (3, 13)​

Answers

Answer:

y=2x+7

Step-by-step explanation:

y=mx+b is the formula

y=(2) × x+b

y= (2)×(3)+b

y=(2)×(3)+b

b=7

Equation: y=2x+7

Please help me. I am confused.

Answers

Answer:

Step-by-step explanation:

100% - 75% = 25% = 0.25

x² = 16² × 0.25 = 64

x = 8

If a solid has faces that consist of a pair of congruent hexagons and 6 congruent rectangles, what type of solid is it?

Answers

Answer:

Hexagonal Prism

PLEASE HELP with question 7! BRAINLIEST to correct answer!!!!

Answers

Answer: rasie 13 to 3/4

Step-by-step explanation:

Raise 13 to 3/4 if this helps you

A new car is purchased for $26,000 and over time its value depreciates by one half every 5 years. What is the value of the car years after it was purchased to the nearest hundred dollars?

Answers

Answer: $6,500

Step-by-step explanation:

Question says after 10 years.

The value of the car depreciates by 1/2 every year which is 50%, every 5 years.

In 10 years therefore, the car would have depreciated by half of its value, twice.

Use the future value formula:

= Amount * (1 + rate) ^ no. of periods

= 26,000 * ( 1 - 50%)²

= $6,500

Note: There are two periods because the depreciation is every 5 years and 10 years have gone by so the number of periods is: 10 / 5 = 2 periods

Pam jogged up a hill at 6 km/h and then jogged back down at 10 km/h. How many kilometers did she travel in all if her total jogging time was 1 hour and 20 minutes?

Answers

Answer:

Distance = x = 5 km

Step-by-step explanation:

Let the distance be x

one hour and 20 minutes can be written in fraction = 1 1/3 = 4/3

Now we wil develop the equation

[tex]x/6+x/10=4/3\\[/tex]

30 is the common multiple and can be multiplied on both sides for simplification.

equation will be reduced to

[tex]5x+3x=40[/tex]

Solving for x

[tex]8x=40\\x=5[/tex]

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