A plane is flying at an altitude of 13,100 ft. The angle of depression from the plane to a control tower is 12º. What is the horizontal distance from the plane to the tower? Answer rounded to the nearest tenth of a foot.
2 answers
Question:
A plane is flying at an altitude of 13,100 ft. The angle of depression from the plane to a control tower is 12º. What is the horizontal distance from the plane to the tower? Answer rounded to the nearest tenth of a foot.
Answers
Answer:The horizontal distance from the plane to the tower is 2784.5 feet.Step-by-step explanation:From the given question, the height of the control tower is not given. But;Tan θ = [tex]\frac{Opposite side}{Adjacent side}[/tex]Tan [tex]12^{0}[/tex] = [tex]\frac{x}{13100}[/tex] x = 13100 × Tan [tex]12^{0}[/tex] = 2784.4910Thus, x = 2784.5 feetTherefore, the horizontal distance from the plane to the tower is 2784.5 feet.
Answer:The horizontal distance from the plane to the control tower is 61630.7 ft.Step-by-step explanation:Here we have thatHeight of flight of plane = 13,100 ft = Opposite side of angle of elevationAngle of depression from the plane to the control tower = 12° Therefore, the control tower can be sighted on a straight (hypotenuse) line from the plane with an angle of depression of 12°Angle of depression from the plane to the control tower = Angle of elevation from the control tower to the plane = 12°Horizontal distance from the plane to the control tower = Adjacent side of the hypotenuse of the right triangle = (Opposite side of angle of elevation) ÷ (Tangent of angle of elevation)∴ Horizontal distance from the plane to the control tower = 13,100/(tan(12°) Horizontal distance from the plane to the control tower = 61630.7 ft. to the nearest tenth of a foot.
Similar Solved Questions
1 answer
A turtle starts at a velocity of 2 m/s and accelerates at a rate of 3 m/s2. How long will it take the turtle to reach a final velocity of 11 m/s?
A turtle starts at a velocity of 2 m/s and accelerates at a rate of 3 m/s2. How long will it take the turtle to reach a final velocity of 11 m/s?...
1 answer
What is the length of a pendulum with a period of 1.75 sec on Venus?
What is the length of a pendulum with a period of 1.75 sec on Venus?...
2 answers
I know this is a lot but can anyone please help with 10-15?
i know this is a lot but can anyone please help with 10-15?...
1 answer
How has the division of power between states and local goverment changed over time?
how has the division of power between states and local goverment changed over time?...
1 answer
A sequence of translations maps triangles ABC to triangle A'B'C'. Triangle ABC has vertices A(5,7), B(-5,4), and C(1,7). The coordinates of A' are (2,9). What are the coordinates for B' and C'? *Don't forget the parenthesis when answering. B' is: C' is:
A sequence of translations maps triangles ABC to triangle A'B'C'.
Triangle ABC has vertices A(5,7), B(-5,4), and C(1,7).
The coordinates of A' are (2,9).
What are the coordinates for B' and C'?
*Don't forget the parenthesis when answering.
B' is:
C' is:...
2 answers
What is a graph of a quadratic equation called
what is a graph of a quadratic equation called...
1 answer
Given that arc GF has a measure of 108°, what is the measure of angle G?
Given that arc GF has a measure of 108°, what is the measure of angle G?...
1 answer
2. How much work does gravity do in causing a 6 kg hammer to fall to the ground from aheight of 10 m?
2. How much work does gravity do in causing a 6 kg hammer to fall to the ground from aheight of 10 m?...
2 answers
The Russian region that slopes upward from the coast and has many streams, forests, and mountain ranges is known as the __________.
The Russian region that slopes upward from the coast and has many streams, forests, and mountain ranges is known as the __________....
2 answers
Awareness cause im posting this everywhere on all my socials and sites i use blm. love is love. womens rights=human rights end animal crueility end the kkk! end fgm! recycle eat the rich get that cheeto face out of here! mlm your body your choice justice for breonna taylor science is real! mental health matters climate change is real there's so much more going on i wish i could think of it all
awareness cause im posting this everywhere on all my socials and sites i use
blm.
love is love.
womens rights=human rights
end animal crueility
end the kkk!
end fgm!
recycle
eat the rich
get that cheeto face out of here!
mlm
your body your choice
justice for breonna taylor
science is real!
mental ...
1 answer
10 If a translation of (x, y) - (x + 6, y - 10) is applied to figure ABCD, what are the coordinates of D'? O (-5,-2) O (1, -12) O (4, -15) 0 (-9, 6) 17 Save and Exit Next Submit Mark this dretum
10
If a translation of (x, y) - (x + 6, y - 10) is applied to
figure ABCD, what are the coordinates of D'?
O (-5,-2)
O (1, -12)
O (4, -15)
0 (-9, 6)
17
Save and Exit
Next
Submit
Mark this dretum...
2 answers
A problem play focuses on what exactly? Select all that apply. 1. problems in the author's life 2. problems in society 3. problems in life that haven't yet occurred 4. problems in the way of betterment
A problem play focuses on what exactly? Select all that apply.
1. problems in the author's life
2. problems in society
3. problems in life that haven't yet occurred
4. problems in the way of betterment...
1 answer
There have been several instances in the last 150 years when valuable materials such as diamonds have been found contained in glacial debris. if one wanted to try to trace such valuable materials back to their source, which moraine would be most useful for tracing valuable gold deposits back to their bedrock source area?
There have been several instances in the last 150 years when valuable materials such as diamonds have been found contained in glacial debris. if one wanted to try to trace such valuable materials back to their source, which moraine would be most useful for tracing valuable gold deposits back to thei...
1 answer
1) y + 6 =20 2) x - 10 =12 3) 12 + z = 15 4) 2 + n = 16 5) a + 4 = 14 6) m - 5 = 10 Show your work!
1) y + 6 =20
2) x - 10 =12
3) 12 + z = 15
4) 2 + n = 16
5) a + 4 = 14
6) m - 5 = 10
Show your work!...
1 answer
How do Diana and Anne communicate during their separation? A. They leave messages in a tree between their houses. B. They meet secretly in the woods to talk. C. They pass notes in school. D. They talk behind the school.
How do Diana and Anne communicate during their separation?
A.
They leave messages in a tree between their houses.
B.
They meet secretly in the woods to talk.
C.
They pass notes in school.
D.
They talk behind the school....
1 answer
Please write a paragraph that synthesizes information related to women workers Quickly please
Please write a paragraph that synthesizes information related to women workers
Quickly please...