Question

A is known to be 6,500 feet above sea level; AB = 600 feet. The angle at A looking up at P is 20°. The angle at B looking up at P is 35°. How far above sea level is the peak P?

Find the height of the mountain peak to the nearest foot.

Height above sea level = a0ft.

(Hint: Draw a perpendicular BJ from B to AP . Label the various angles. Compute BJ, then BP, then PQ, rounding to the nearest tenth in each step; and finally find 6,500 + PQ.)