Question

A plane rises from​ take-off and flies at an angle of 5 degrees5° with the horizontal runway. When it has gained 800800 ​feet, find the​ distance, to the nearest​ foot, the plane has flown.

Answer 1

Answer:

$distance=9188149.567feet$

Explanation:

Given Data

Angle α=5°

height h=800800 feet

To find

Distance r

Solution  

As we Know that

$Sin\alpha =(\frac{Perpendicular}{hypotenuse} )\\Sin\alpha =\frac{h}{r}\\ r=\frac{h}{Sin\alpha}\\ r=\frac{800800feet}{Sin(5^{o} )}\\ r=9188149.567feet$