Trig Story problem: A survey team is trying to estimate the

[killasnake]

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?

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 34=z/x

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

 

[arthur ohlsten]

eq 1:
tan 30= z/[x+1500] solve for z
z=[x+1500] tan 30

eq2
tan 34= z/x solve for z
z=x tan 34

eq3 set z=z
[x+1500] tan 30 = x tan 34
x tan 30 +1500 tan 30 = x tan 34
1500 tan 30 = x[tan 34 - tan 30]
x = [1500 tan 30] / [ tan 34 - tan 30]

then place the x value in eq1 or eq2 to find z