SOLUTION: To approach the runway, a small plane must begin a 9 degree descent starting from a height of 1125 feet above the ground. To the nearest tenth of a mile, how many miles from the ru

Algebra ->  Surface-area -> SOLUTION: To approach the runway, a small plane must begin a 9 degree descent starting from a height of 1125 feet above the ground. To the nearest tenth of a mile, how many miles from the ru      Log On


   

Question 128812: To approach the runway, a small plane must begin a 9 degree descent starting from a height of 1125 feet above the ground. To the nearest tenth of a mile, how many miles from the runway is the airplane at the start of this approach?
This picture on the paper has a right triangle with 1125 as its height and nothing on the base next to the 90 degree is 9 degrees in the corner and an x as the hypotenuse.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
To approach the runway, a small plane must begin a 9 degggree descent starting from a height of 1125 feet above the ground. To the nearest tenth of a mile, how many miles from the runway is the airplane at the start of this approach?
This picture on the paper has a right triangle with 1125 as its height and nothing on the base next to the 90 degree is 9 degrees in the corner and an x as the hypotenuse.
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sin(theta) = opposite/hypotenuse
Your Problem:
sin(9 degrees) = 1125/x
x = 1125/sin(9 degrees)
x = 7191.51 ft.
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Cheers,
Stan H.