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 = ft. (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 = ft. (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

Is there a diagram? because i dunno where B is located?

anonymous · Answer

Whats that?

anonymous · Answer

Is there like a picture? Because without it, i dont know whr B is. and i wouldnt be able to solve

anonymous · Answer

like this

anonymous · Answer

yea at last, yea the diagram is damn important in this case. gimme a while.

anonymous · Answer

thanks for coming back.

anonymous · Answer

Hmm im not sure if the hint is the way i will solve the question. But here is my method.

notice that the 2 triangles ( APQ and BPQ) share the same height that of PQ

anonymous · Answer

Yeah

anonymous · Answer

realise that tan (angle) = opp/adj. In this case the opposite side is the height PQ.

Now let x be length of BQ.

so BQ = x and AQ = x+600 

tan 20degrees = oppo/(x+600)
tan 35 degrees = oppo/ x

Equate the oppo to each other. to get

(x+600) tan 20 = x tan 35
(x+600) 0.364 = x(0.7)
0.364 x +218.4 = 0.7 x
218.4 = 0.336x
x= 650 feet

now you got x, you know BQ is 650 ft
remember,
tan 35degrees = oppo /x
tan 35 = oppo/ 650
oppo = tan 35 * 650= 455 ft

PQ is 455ft.

Since A is 6500 ft above sea lvl.

The peak P is 455+6500 = 6955 ft above sea level.

anonymous · Answer

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anonymous · Answer

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anonymous · Answer

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anonymous · Answer

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anonymous · Answer

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anonymous · Answer

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anonymous · Answer

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