SOLUTION: Two students are looking at a flagpole in between them. Student 1 is looking at the pole with an angle of elevation of 36 degrees, and student B is looking at the pole with an angl

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Question 1113457: Two students are looking at a flagpole in between them. Student 1 is looking at the pole with an angle of elevation of 36 degrees, and student B is looking at the pole with an angle of elevation of 48 degrees. They are 150m apart, find the height of the flagpole.
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
Draw and label the description. Triangle base 150 meters, height of unknown y, and one angle at A is 36 degrees and other angle at B is 48 degrees.

A possible start using the picture might be
system%28tan%2836%29=y%2Fx%2Ctan%2848%29=y%2F%28150-x%29%29.

Solve one of these for x and substitute into the other,
.
.
.
y=%28150%2Atan%2848%29%2Atan%2836%29%29%2F%28tan%2836%29%2Btan%2848%29%29