SOLUTION: From the top of a cliff 52 m high, the angles of depression of two ships due east of it are 36 degrees and 24 degrees respectively. Find the distance between the ships. Please e

Algebra ->  Trigonometry-basics -> SOLUTION: From the top of a cliff 52 m high, the angles of depression of two ships due east of it are 36 degrees and 24 degrees respectively. Find the distance between the ships. Please e      Log On


   



Question 1092882: From the top of a cliff 52 m high, the angles of depression of two ships due east of it are 36 degrees and 24 degrees respectively. Find the distance between the ships.
Please explain with a diagram! This would be greatly appreciated! :)

Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
P: bottom of the cliff
Q: top of the cliff
A and B represent the ships
According to the problem:
PBQ = 24
and
PAQ = 36
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PAQ = tan36 = PQ/PA = 71.57
PBQ = tan24 = PQ/PB = 116.79
Distance between the ships: 116.79-71.57 = 45.22
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You make the diagram.