Question

A plane rises from​ take-off and flies at an angle of 12 degrees with the horizontal runway. When it has gained 650 ​feet, find the distance the plane has flown.
650 ft

Answer 1

Let d be the distance flown (the hypotenuse). Then 650 = d·sin 12°, so

d = 650 / sin(12°) ≈ 650 / 0.207912 ≈ 3126.4 ft.

So the plane has flown about 3126 ft (≈3126.4 ft).