1. ## Story Problem

Hi Can you guys help me with this question? I don't remember what to do

A survey team is trying to estimate the height of a mountain above a level plain. From one point on the plain, they observe that the angle of elevation to the top of the mountain is 30 degrees. From a point 1500 feet closer to the mountain along the plain, they find that the angle of elevation is 34 degrees

How high (in feet) is the mountain?
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This is what I know.

I need to solve for Z so.. I just remeber that you need to solve for x and then z.

tan 30 = z/1500+x

tan 43 = z/1500+x

It's something like that but I do not remember.

2. Originally Posted by killasnake

tan 30 = z/1500+x

tan 43 = z/1500+x

It's something like that but I do not remember.
First I thing you mean 34 not 43 but that is not the problem.
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tan 30=z/(1500+x)

tan 34=z/x

From the second equation we
x tan 34 =z
Thus,
x=z/(tan 34)
Substitute that into first equation,

tan 30=z/(1500+z/(tan 34))

This is a regular equation for z.
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Alterntiely you can dived your equations,
tan 30/tan 34=x/(1500+x)
Solve for x,
Then solve for z