During the Dallas marathon, a helicopter monitors the racers at a height of 527 feet. The pilot can see the runners that are in first and second place. The angle of elevation from the runner in first place to the helicopter is 45 degrees. The angle of elevation from the runner in second place to the helicopter is 60 degrees. What is the distance from the runner in 2nd place to the point directly below the helicopter? Round your answer to the hundredths place.

Answers

Answer 1

The distance from the runner in 2nd place to the point directly below the helicopter is given as follows:

304.26 feet.

What are the trigonometric ratios?

The three trigonometric ratios are defined as follows:

Sine of angle = length of opposite side divided by the length of the hypotenuse.Cosine of angle = length of adjacent side divided by the length of the hypotenuse.Tangent of angle = length of opposite side divided by the length of the opposite side.

The parameters for this problem are given as follows:

Distance of x adjacent to the angle of 60º.Opposite side of 527 feet, which is the height.

Hence the distance is obtained applying the tangent function as follows:

tan(60º) = 527/x

x = 527 / tangent of 60 degrees

x = 304.26 feet.

More can be learned about trigonometric ratios at brainly.com/question/24349828

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Related Questions

point (4, 10) lies in which quadrant

Answers

Answer:

the second quadrant

Step-by-step explanation:

Answer:

itssss sooooo easy

Step-by-step explanation:

quadrant 1


Calculate the elapsed time between:
a 9:30 a.m. and 7:30 p.m.

Answers

The elapsed time is 10 hours
That would be 10 hours.

Which sentence states the author’s point of view of microloans?


A.They help people, not communities.



B.They can change people’s lives for the better.



C.They need to be changed in order to work correctly.



D.They should be paid back quickly to make a difference

Answers

Answer:

B

Step-by-step explanation:

It is right

PWEASE HELPPP!!

Ben and Jerry are driving to Chicago and it takes 270 miles to get there. They

have already traveled 42 miles and are driving 75 mi/h. Write a function that

models the distance they drive as a function of time.

Answers

Answer:

d= 75*t

Step-by-step explanation:

Given data

We are given that the total distance = 270 miles

And that they have already traveled 42 miles

speed= 75mi/h

The remaining distance of the journey is = 270-42

= 228 miles

We know that

speed= distance/time

distance= speed*time

also

d= 75*t

Hence, we can estimate the distance they have traveled for any number of time t

PLZ HELP ASAP! A vendor at the Saturday Market makes $9 profit on each necklace she sells and $5 profit on each bracelet. Find a combination of necklaces and bracelets that she could sell and make.
a. exactly $100 profit
b. more than $100 profit​

Answers

Answer:B. more than $100 profit

Step-by-step explanation:

When the pattern continues it wont be even

Answer

b

Step-by-step explanation:

y=4x+3
2x-3y=21
SHOW YOUR WORK

Answers

Step-by-step explanation:

y = 4x+3

2x-3y = 21

2x -3(4x+3) = 21

2x -12x -9 = 21

-10x = 21 + 9

-10x = 30

x = -3

PLS HURRY TY WILL GIVE BRAINLIEST

Answers

Answer:

i'm pretty sure its c

Step-by-step explanation:

have a great day!!

Answer:

The quadratic equations and their solutions are;

9 ± √33 /4 = 2x² - 9x + 6.

4 ± √6 /2 = 2x² - 8x + 5.

9 ± √89 /4 = 2x² - 9x - 1.

4 ± √22 /2 = 2x² - 8x - 3.

Explanation:

Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.

We have to solve all of the five equations to be able to match the equations with their solutions.

2x² - 8x + 5, here a = 2, b = -8, c = 5.                                                  x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4.     24 can also be written as 4 × 6 and √4 = 2. So                                                                                     x = 8 ± 2√6 / 2×2= 4±√6/2.

2x² - 10x + 3, here a = 2, b = -10, c = 3.                                                   x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So                                                                              x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.

2x² - 8x - 3, here a = 2, b = -8, c = -3.                                                    x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4.     88 can also be written as 4 × 22 and √4 = 2. So                                                                             x = 8 ± 2√22 / 2×2 = 4± √22/2.

2x² - 9x - 1, here a = 2, b = -9, c = -1.                                                     x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4.                                          x = 9 ± √89 / 4.

2x² - 9x + 6, here a = 2, b = -9, c = 6.                                                    x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4.                                                                             x = 9 ± √33 / 4 .

Step-by-step explanation:

please help please help

Answers

Answer:

c

Step-by-step explanation:

4000x.5=2000 which is the next table on the chart.

Answer:

Step-by-step explanation:

y=ar^t

f(x)=4000(1/2)^x

PLEASE HELP OR ELSE MOM WILL BE REALLY MAD!!!!! Two trains, one going from Boston to New York and the other going from New York to Boston, started their trips at exactly same time. Speed of the first train was 10 mph less than twice the speed of the second train.How far from Boston station to have the Met in two hours, if the total distance between cities along the railroad is 220 miles?

Answers

Answer:

140 mile

Step-by-step explanation:

[tex]d_{1} +d_{2} =220\\2(2x-10+x)=220\\x=40\\d_{1}=2*(2*40-10)=140mile[/tex]

While x is the speed of the second train.

The speed of the first train is 50 miles per hour while the second train is at 60 miles per hour.

Speed

Speed is the ratio of total distance to total time taken. It is given by:

Speed = distance / time

Let a represent the speed of the first train. In two hours:

a = d₁/2

d₁ = 2a

a + 10 = d₂/2

d₂ = 2a + 20

d₁ + d₂ = 220

2a + 2a + 20 = 220

4a = 200

a = 50 miles per hour

The speed of the first train is 50 miles per hour while the second train is at 60 miles per hour.

Find out more on Speed at: https://brainly.com/question/4931057

5. Alex invests $18,100 at 13.6% compounded quarterly for 10 years. How much it be worth in the end?

Answers

Answer:

It be worth in the end : ($18,100 x 13.6%) x 4 = $ 9,849.4

Step-by-step explanation:

1 quarter = 3 months => 1 year = 4 quarters

NEED HELP ASAP!!! WILL MARK BRAINLIEST!!!

A sample of 500 g of radioactive lead-210 decays to polonium-210 according to the function A(t) = 500 e ^-0.0325, where t is time in years. Find the amount of radioactive lead remaining after (a) 4 yr, (b) 8 yr, (c) 15 yr. (d) Find the half-life.

Answers

Answer:

t=4

Step-by-step explanation:

ccccc
ccccc
ccccc
ccccc
ccccc

Answers

Cccccccccccccccccccccccccccccccc

Answer:

cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc

Step-by-step explanation:

Please hurry it’s timed

Answers

The second one is the answer

PLEASE HELP ME!!! PLEASE HELP ME!!!!

Answers

Answer:

no le entiendo perdon no se ingles incluso estoy en clase

Find product of

4xy², 2x² - 3y², x³y³

pls help me will mark u as brainliest

full explanation pls​

Answers

Answer:

8x⁶y⁵ - 12x⁴y⁷

Step-by-step explanation:

→ 4xy² × 2x² - 3y² × x³y³

→ 4x⁴y⁵ × 2x² - 3y²

→ 8x⁶y⁵ - 12x⁴y⁷

HOPE THIS HELPS YOU

Follw me = 10 thanks

Mark as brainliest = 10 thanks

1 thanks to me = 2 thanks

Solve 12x + 6 = 102 ?????????????????

Answers

Answer:

12x =102-6

x=96/12

x=8 is the correct answer

Answer:

Answer is x=8.

Step-by-step explanation:

12x+6=102

12x+6-6=102-6

12x=96

12x/12=96/12

x=8

I hope it's helpful!

this killing me pls help ‍♀️

Answers

-6p - 3 = 9, Solve for p

Add 3 to both sides.

-6p = 12

Divide -6 by both sides.

p = -2

A dress regularly costs $70, but is on sle for $56. What is the percent discount?

Answers

Answer:

$14

Step-by-step explanation:

70-56=14

Answer:

14%

Step-by-step explanation:

I guessed.

volume of the composite

Answers

Step-by-step explanation:

To find the volume of a composite 3D figure, draw any necessary planes to view the figure as basic three dimensional figures, then: add basic figure volumes belonging to the composite shape. subtract basic figure volumes NOT belonging to the composite figure.

which expression is equivalent to (7x^3)^2 (x^8)

Answers

Answer:

49x^14

Step-by-step explanation:

Please show work I will mark brainlist

Answers

Answer:

450 online tickets

200 gate tickets

Step-by-step explanation:

Let x = no. of online tickets

and y = no. of gate tickets

60x = total sales of online tickets

80y = total sales of gate tickets

    x + y = 650      and 60x + 80y = 43000

         y = 650 - x          60x + 80(650 - x) = 43000

                                     60x + 52000 - 80x = 43000

                                     -20x = -9000

                                           x = 450 online tickets

         y = 650 - 450 = 200 gate tickets

Draw a triangle ABC with A(6,10), B(7,6), and C(10,7).

Translate it 5 squares left and 6 squares down to get A'B'C'.

Write the coordinates of the image.

Answers

Answer:

A(1,4) B(2,0) C(5,1)

PLSS I NEED HELPPP .

Answers

Answer:

yes

Step-by-step explanation:

...........................

After losing the __________, the Chinese government was forced to make reparation payments to Britain.
A.
Anglo-Chinese War
B.
Chinese Civil War
C.
Revolution of 1911
D.
Sino-Japanese War

Answers

Option A. Anglo-Chinese War.

Answer: a.anglo-chinese war in e2020

Step-by-step explanation:

(emoji) + 3 = -6 { find the value of the emoji }

Answers

Answer:

-9

Step-by-step explanation:

x+3= -6

×= -6-3

x= -9

mark me branliest

Answer:

emojissss  

Step-by-step explanation:

:3 =.= XD :7

What is the recursive formula for the sequence:
1350,450, 150, 50

Answers

Answer:

It is being multiple by 3

11. The scale on a map is 1: 80000. A town has an area of 37.5cm2 on the
map. What is the actual area of the town in km2? *
2 points

Answers

The actual area of the town is 3,000,000 km².

Explanation:

Scale = Drawing / Actual

Let x km² be the actual area of the town.

1:80000 = 37.5 / x

1 / 80000 = 37.5 / x

1x= 37.5 • 80000

x = 3 000 000

30 POINTS!! BRAINLIEST

Answers

Answer:

the first box is 1/3

the second box is 27

Step-by-step explanation:

Answer:

thanks for 15 points

Step-by-step explanation:

1.When two variables are proportional which of the following is constant?
(1) their sum
(3) their product
(2) their ratio
(4) their difference

Answers

Answer:

Their Ratio

Step-by-step explanation:

You switched the numbers 2 and 3 btw

[tex]\boldsymbol{\left ( 2 \right )}[/tex] their ratio

A ratio indicates how many times one number contains another.

Two sequences of numbers, often experimental data, are proportional or directly proportional if their corresponding elements have a constant ratio, which is called the coefficient of proportionality or proportionality constant.

When two variables are proportional, [tex]\boldsymbol{\left ( 2 \right )}[/tex] their ratio is constant.

For more information:

https://brainly.com/question/25343092?referrer=searchResults

This year, a farmer planted 300 acres of corn. This was 1.5 times as many acres as he planted last year. How many acres did he plant this year?

Answers

Answer:

600 acres

Step-by-step explanation:

brainest vote pleasee

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