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

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

anonymous · Answer

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may be the diagram is like this

sagewilson · Answer

maybe but i'm not 100% sure

anonymous · Answer

umm...it may take me a long time to do the steps...
here comes my answer so far:

tan35=PJ/BJ----(1)

tan20=PQ/BJ----(2)
BJ=PQ/tan20

tan35=PJ/(PQ/tan20)
(tan35PQ)/tan20=PJ

because PJ=PQ+600
therefore, (tan35PQ)/tan20=PQ+600
and solve PQ.
after solving PQ, add 6500 and that's the height.

anonymous · Answer

it look a little bit messy :O
if you don't understand, feel free to ask me