SOLUTION: after leaving the runway, a plane's angle of ascent is 18 degrees and its speed is 278 feet per second. How many minutes will it take for the airplane to climb to a height of 13,00

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Question 1052744: after leaving the runway, a plane's angle of ascent is 18 degrees and its speed is 278 feet per second. How many minutes will it take for the airplane to climb to a height of 13,000 feet? round answer to two decimal places.

Answer by ankor@dixie-net.com(22740) (Show Source):
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after leaving the runway, a plane's angle of ascent is 18 degrees and its speed is 278 feet per second. How many minutes will it take for the airplane to climb to a height of 13,000 feet? round answer to two decimal places.
:
Draw this out as right triangle where
distance traveled by the plane is the hypotenuse,
the side opposite 18 degrees is the height above the ground (13,000 ft)
:
let t = time in seconds
then
278t = distance traveled by the plane (hypotenuse)
Use the sine of 18 degrees (side opposite/hypotenuse)
sin(18) =
.309 =
.309(278t) = 13000
85.9t = 13000
t =
t = 151.33 seconds or 151.33/60 = 2.52 minutes