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January 29, 2015

January 29, 2015

Posted by **Anonymous** on Wednesday, March 20, 2013 at 1:28pm.

- trig -
**Reiny**, Wednesday, March 20, 2013 at 3:29pmmake a sketch labeling the height of the mountain as PQ, with P as the top of the mountain.

Label the 2 points of observation as A and B, with B the closer point,

In triang ABP,

angle A = 35°15'

angle ABP = 180 - 50°25' = 129°35'

then angle APB = 15°10'

and AB = 1000 m

by the sine law:

BP/sin35°15' = 1000/sin15°10'

BP = 2205.9788..

now in the right-angled triangle BPQ

PQ/PB = sin50°25'

PQ = Height of mountain = 1700.145 m

or appr 1700 m

Did you want the answer in feet?

Why did you have metric units ?

I will let you do the conversion, if needed.

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