SOLUTION: A man stands at the top of a 105 foot light house and sees a boat. The angle of depression to sight the boat is 37degrees, find the distance between the base of the light house and

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Question 441989: A man stands at the top of a 105 foot light house and sees a boat. The angle of depression to sight the boat is 37degrees, find the distance between the base of the light house and the boat.
Found 2 solutions by nerdybill, stanbon:
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
A man stands at the top of a 105 foot light house and sees a boat. The angle of depression to sight the boat is 37degrees, find the distance between the base of the light house and the boat.
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draw a diagram and then apply trig...
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Let d = distance
then
tan(37) = d/105
105 * tan(37) = d
79.12 feet = d

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A man stands at the top of a 105 foot light house and sees a boat. The angle of depression to sight the boat is 37degrees, find the distance between the base of the light house and the boat.
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Draw the picture.
You have a right angle with height = 105 ft. and angle
opposite = 37 degrees.
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tan(37) = height/dist
dist = height/tan(37)
dist = 105/0.7536
dist = 139.34 ft.
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Cheers,
Stan H.