SOLUTION: On a hill, inclined at an angle of 14.2o with the horizontal stands a vertical tower. At a point P, 62.5 meters down the hill from the foot of the tower, the angle of elevation of

Question 927333: On a hill, inclined at an angle of 14.2o with the horizontal stands a vertical tower. At a point P, 62.5 meters down the hill from the foot of the tower, the angle of elevation of the top of the tower is 43.6o . How tall is the tower?
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
Here is a sketch with the necessary imaginary horizontal and vertical lines drawn in green:
We need to calculate , the height of tower .
We can use law of sines applied to triangle BPT:

We just need to calculate the measure of those angles

and PTB is part of right triangle PTU, so

So,
Using approximate values,

(rounded to one decimal place).
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