SOLUTION: The angle of depression of a boat which is directly out to sea as observed from the top of a vertical cliff 50m high is 32degree. Find the distance of the boat from the foot of the
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Question 1190507: The angle of depression of a boat which is directly out to sea as observed from the top of a vertical cliff 50m high is 32degree. Find the distance of the boat from the foot of the cliff
Answer by math_tutor2020(3817) (Show Source): You can put this solution on YOUR website!
The angle of depression is where you start looking directly horizontal, then look down the number of degrees mentioned.
Refer to the drawing below
Notice how 58+32 = 90
tan(angle) = opposite/adjacent
tan(58) = x/50
x = 50*tan(58)
x = 80.0167264520526
The distance is roughly 80 meters.
Round however else you need if your teacher instructs.
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