A UFO is coming in to pick up some test subjects. Their elevation above the ground is 60,000 feet. Their laser sights tell them that a direct (diagonal) path to the nearest landing area is 90,000 feet away. What is the angle of depression as they come in to land?
Answers
Answer:
41.83°
Step-by-step explanation:
It is given that :
The vertical distance of the UFO from the ground = 60,000 feet
The diagonal distance of the landing area to the UFO = 90,000 feet
In order to find the angle of depression, we have to use the trigonometric ratios, i.e.,
[tex]$\sin \ \theta = \frac{\text{perpendicular distance}}{\text{hypotenus}}$[/tex]
[tex]$\sin \ \theta = \frac{60,000}{90,000}$[/tex]
[tex]$\sin \ \theta = \frac{2}{3}$[/tex]
[tex]$\sin \ \theta = 0.667$[/tex]
∴ [tex]$\theta = \sin^{-1 }(0.667)$[/tex]
= 41.83°
Related Questions
Find the area of the triangle.
Answers
Answer:
86.1yd
Step-by-step explanation:
area of a triangle= base*height/2
21*8.2=172.2
172.2/2=86.1
Answer:
86.1yd2
Step-by-step explanation:
area=1/2×b×h
a=1/2×21×8.2
a=86.1yd2
Ashley made 2 out of 4 total shots. What percent of her shots did she make?
Answers
Answer:
50%
Step-by-step explanation:
2 divided by 4 is .5
.5 ×100 =50
if you simplify in fraction form it would be 2/4 equals 1/2 which would still give you the same answer
The tree frog population in your back yard doubles every two weeks. Currently, there are 10 frogs in your back yard. Assuning that there are 4
weeks in a month how many tree frogs will there be in 3 months?
Answers
Answer:
there would be 40,960 tree frogs i think
Step-by-step explanation:
Answer:
640 tree frogs
Step-by-step explanation:
If 1 month = 4 weeks
3 months = 12 weeks (3x4)
After 2 weeks the frogs double to 20
After 4 weeks the frogs double to 40
6 weeks, it doubles to 80
8 weeks, it's 160
10 weeks it's 320
12 weeks, it's 640
How tall are 2 chairs stacked together? The height of the chairs
5 chairs are 51 inches high
3 chairs are 45 inches high
8 chairs are 60 inches high
Answers
Answer: 20.4 damm this easy
one of mr jones autographed baseballs is worth $55.00. if the value increases by 3% in the next year, what will be the new value of the baseball
Answers
Answer:
56.83?
Step-by-step explanation:
The new value of the baseball is $56.65.
Given that, the cost of baseballs = $55.00 and the value increases by 3% in the next year.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Now, new value = 55+3% of 55
= 55 + 0.03 × 55
= 55 + 1.65
= $56.65
Therefore, the new value of the baseball is $56.65.
To learn more about the percentage visit:
brainly.com/question/24159063.
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write a active sentence then rewrite it as a passive
Answers
Hey there!
The answer is, for active, "Carla drove Emily to the theater," and, for passive, "Emily was driven to the theater by Carla."
Have a nice day :)
Find the slope between the points (2, -10) and (-4, 2).
A) 1/4
B) -2
C) 4
D) -1/2
Answers
Answer:
B) -2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)=(2-(-10))/(-4-2)=(2+10)/-6=12/-6=-2
3) Asanji's school is selling tickets to the annual dance competition. On the first day of ticket sales the
school sold 1 senior citizen ticket and 2 child tickets for a total of $32. The school took in $208 on the
second day by selling 12 senior citizen tickets and 8 child tickets.
This situation is modeled by the system below where x-a senior ticket and ya child ticket
x + 2y = 32
12x + 8y = 208
Find the price of a senior citizenticket and the price of a child ticket.
A) senior citizen ticket: $12, child ticket: $4
B) senior citizen ticket: $6, child ticket: $16
C) senior citizen ticket 10$, child ticket 11$
D) senior citizen ticket: $9, child ticket: $6
Answers
Answer:
C) senior citizen ticket 10$, child ticket 11$
Step-by-step explanation:
HELP PLS I WILL GIVE BRIANLY!
The students will paint 4 rooms on the first floor and the conference room on the second floor. Each room on the first-floor room is 4m x 5m.
1. Calculate the area of one of the rooms.
Answers
Answer:
20m
Step-by-step explanation:
The rooms are 4m x 5m.
To find the area, multiply length by width: 4*5=20
The Area of one room is 20 m².
What is Area?Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area.
Given:
First, Area of one room= lw
= 4 x 5
= 20 m²
Now, Area of four room = 4 x 20
= 80 m²
Thus, area of one room is 20 m².
Learn more about Area here:
https://brainly.com/question/27683633
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Enrique deposited $4,700 into an account. He made no additional withdrawals or deposits. Enrique earned 1.65% annual simple interest on the money in the account.
What was the balance in his account at the end of 4.5 years?
Enter the amount in the account in the box.
Answers
Answer:
$5,048.98
Step-by-step explanation:
took the test
A five feet tall man casts a shadow rhat is 4 1/3 feet long. A telephone pole casts a shadow that is 25.5 feet long. How tall is the telephone pole in inches
Answers
Answer:
22.1 inches
Step-by-step explanation:
The shadow is formed at a specific factor of the original image hence if a 5 feet tall man casts a shadow rhat is 4 1/3 feet long then a telephone pole casts a shadow that is 25.5 feet long must have a length
5 / 4 1/3 = x / 25.5
where x is the length of the pole
5 / 13/3 = x/ 25.5
15/13 = x/25.5
cross multiply
15 * x = 13 * 25.5
Divide both sides by 15
x = 13 * 25.5 / 15
x = 22.1 inches
The telephone pole in inches is 22.1 long
There were 60 students enrolled in Grade 5 last year. If 66 students are enrolled in the same grade level this year, what is the percentage increase in the number of Students?
Answers
There is a 10% increase
There are 6 more students this year than there were last year.
If you find what 10% of 60 is and add that to 60, you'll find that it'll equal 66.
//
[tex]60 \times 0.10 = 6[/tex]
[tex]10\% \: of \: 60 \: is \: 6[/tex]
[tex]60 + 6 = 66[/tex]
7x — 3х – 4 = -1 + 21
Answers
Answer:
x = 6
Step-by-step explanation:
7x - 3x - 4 = -1 + 21
4x - 4 = 20
4x - 4 + 4 = 20 + 4
4x = 24
4x/4 = 24/4
x = 6
what's HCF/GCD of 144 and 0 ?
Answers
Answer:
144 =4
=>144=2×2×2×3×3
OK
OK i know this only
enjoy your day
what is the answer yx3=15?
Answers
Answer:
5
Step-by-step explanation:
URGENT!!!!!!
Use scientific notation to estimate the number of inches in 1,225 miles. Include all calculations in your final answer.1 inch ≈ 1.578 × 10 -5 miles.
Answers
Answer: The number of inches in 1225 miles is [tex]7.763\times 10^7[/tex]
Step-by-step explanation:
Scientific notation is defined as the representation of expressing the numbers that are too big or too small and are represented in the decimal form with one digit before the decimal point times 10 raise to the power.
Example: 3000 is written as [tex]3.0\times 10^3[/tex]
Given : [tex]1.578\times 10^{-5}[/tex] miles = 1 inch
Thus 1 mile = [tex]\frac{1}{1.578\times 10^{-5}}=0.634\times 10^5[/tex] inches
1225 miles = [tex]\frac{0.634\times 10^5}{1}\times 1225=776.3\times 10^{5}=7.763\times 10^7[/tex] inches
Sari wrote the equivalent ratios below to convert cups to fluid ounces. How many fluid oz. Are in 9 cups.
Answers
Answer:
the number of fluids ounces in 9 cups is 72 fluid ounces
Step-by-step explanation:
The computation of the number of fluids ounces in 9 cups is shown below:
As we know that
In 1 cup = 8 fluid ounces
So for 9 cup it is
= 9 × 8
= 72 fluid ounces
hence, the number of fluids ounces in 9 cups is 72 fluid ounces
can some one write a system for all of these? it would really help me rn :(
Answers
Answer: 36 and 56
Step-by-step explanation: the sum of two numbers translates into x + y = 92
If the difference would be 0 then the numbers would be equal.
Just choose which number you want to be bigger. If x is bigger then x - y = 20. If y is bigger then y - x = 20.
Let’s make x bigger so x-y=20. You can go two ways with this.
Either x=20+y because when passing one term from one side to the other you can change the sign.
Or y=x-20 because you pass “-y” to the right and it’s becomes “y” and you pass 20 to the left and it becomes -20.
Let’s go with y=x-20.
Now we replace this in the other relation:
X + Y = 92
X + (x-20) = 92
X + X - 20 = 92
2x - 20 = 92 ==> 2x = 92 + 20 ==> 2x = 112 ==> 112/2 ==> x=56
Y = x - 20 ==> y = 56 - 20 ==> y = 36.
If you choose x=20+y and replace x in the other relation you’ll find out y first and only after that you’ll find x.
Hope this helps☺️
Figure ABCD is a trapezoid. Find
the value of x.
B.
2x + 1
.C
17
3x + 8
.D
A
x = [?]
Answers
Answer for x is 5
Step by step explanation:
Direction: Simplify each expression using Product Rule.
: (−
3)(23
) = −2(
3+1
1+3
)
= −2
1. (
2
)(
4
) = 6. (34
)(2
)(
3
)
2. (6
2
)(6
3
) = 7. (−6
2)(−3
3
5
)
3. (
2
)(
4
)(
2
) = 8. (2
2
)(3
4
)
4. (
1
2) (
1
2) = 9. (
1
3) (
2
3) =
5. (
3
5) (
1
5) = 10. (2
1
6) (−3
1
6)=
Answers
Answer:
pagal answer toone khoo
Find the distance between (2, 8) and (−6, 2).
The distance is ( ) units.
Answers
Answer:
✓100 = 10
Step-by-step explanation:
2= x1
8= x2
-6= y1
2= y2
Then you apply your distance formula to solve.
Hope it helps
A plant is already 45 centimeters tall, and it will grow one centimeter every month.Let h be the plant's height (in centimeters) after m months.Write an equation relating h to m . Then use this equation to find the plant's height after 14 months.
Answers
Expression: 3x2t
If the value is 96 what is t?
Answers
Answer:
t = 16. This is the answer.!
Can someone explain how to do this?
Answers
i cant give you the answer but i know how u can figure it out, go to g00gle calculator or look up "Algebra Calculator"....you wont regret it!!!
you have to try to find a fraction that is similar to the first. so 7/14 and 5/10, 6/12, 4/8, 3/6, 2/4, 1/2, so on and so forth. so x can equal any number related to 7/14.
Find the circumference for the circle below. Round your answer to the nearest
tenth
radius = 17
Answers
If the radius of a circle is 17, then it becomes 2 π17
Rounded to the nearest tenth, 2 π17 is 106.8
Please Help!! I will give Brainliest to the correct answer!!
Evaluate 12.3s +11.9t when s= 3 and t = 4
Thank you so much
Answers
Answer:
84.5
Step-by-step explanation:
12.3(3)+11.9(4)=84.5
Answer:
87.5
Step-by-step explanation:
12.3 x 3= 39.9=s
11.9 x 4= 47.6=t
47.6 + 39.9= 87.5
Find the inverse of each function. f (x) = 2x − 4
Answers
Joe lost 4 kg and now weighs 60 kg. What percentage of his original weight did he lose?
Answers
Answer:
60-4 is 56
and 56 by 100
Step-by-step explanation:
The percentage of his original weight did he lose is 56%.
Given that,
Joe lost 4 kg and now weighs 60 kg.Calculation:[tex]= ( 60 - 4) \div 100[/tex]
= 56%
learn more about the percentage here: https://brainly.com/question/16616666
Antwan drew the circle graph below
describing his time spent at school in 1
day. His teacher said that the number of
hours listed were correct, but that the
central angle measures for the sectors
were not correct. What should be the
central angle measure for the Core
subject sector?
A. 72°
B. 80°
C. 160°
D. 200°
E. 288°
Answers
help please!! I need an explanation
Answers
Step-by-step explanation:
A triangle's angles add up to be 180 degrees, so you can create an equation to be 180= 130+5x. (the 5x is 2x + 3x)
subtract 130 from both sides and get 50=5x, divide both sides by 5, x is equal to 10.
I'm not sure which angle is angle a, but if you substitute x with 10, you can find the measure of the angle, so if it's 2x, 2(10)=20 and if 3x, 3(10)=30
2x + 3x + 130° = 180°
5x + 130° = 180°
5x = 180° - 130°
5x = 50°
x = 50° / 5
x = 10
Hope it helps!
