1 Answer

Paulo Buchsbaum · Answer 1 · 2021-02-27T09:19:24+0000

The angle of elevation from the base to the top of the mountain is 30°

Explanation:

The vertical height of the mountain h=700 feet

The distance of the top of the mountain from the base=1400 feet

The system is a right a triangle and we have to determine the angle of elevation from the base to the top of the mountain.

The hypotenuse of the triangle=1400 feet

Let α be the angle between the base of the mountain and the line joining the base to the top of the mountain

$sin\alpha =opposite side/hypotenuse\\=height h/hypotenuse\\=700/1400\\=0.5\\\\\alpha =sin^-1 (0.5)=30 \°$

The angle of elevation is 30°

Please log in or register to add a comment.