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
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-> 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
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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).
