SOLUTION: A boat is 4500 metres from the base of a cliff. The angle of depression from the top of the cliff to the boat is 32 degrees. Find the height of the cliff.
Thanks in advance
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-> SOLUTION: A boat is 4500 metres from the base of a cliff. The angle of depression from the top of the cliff to the boat is 32 degrees. Find the height of the cliff.
Thanks in advance
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Question 1046071: A boat is 4500 metres from the base of a cliff. The angle of depression from the top of the cliff to the boat is 32 degrees. Find the height of the cliff.
Thanks in advance Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! ===============================
|----32 degrees
|------
|--------
|
|
|===================================Boat
---------------------4500m----------------------
That is the same as the angle of elevation from the boat to the top of the cliff.
The tangent is opposite over adjacent, where opposite is the height of the cliff and adjacent is 4500m.
tan 32=x/4500
x=4500 tan 32=2811.91 or 2812 m.
