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From the top of a 100-meter high cliff, the angle of depression to a boat in the
From the top of a 100-meter high cliff, the angle of depression to a boat in the sea is 30 degrees. How far is the boat from the base of the cliff?
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Q1
From the top of a 100-meter high cliff, the angle of depression to a boat in the sea is 30 degrees. How far is the boat from the base of the cliff?
100 meters
150 meters
173 meters
200 meters
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Distance = height / tan(angle) = 100 / (1/√3) = 100 * √3 = 173.21 meters.
Questions & Step-by-step Solutions
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Q: From the top of a 100-meter high cliff, the angle of depression to a boat in the sea is 30 degrees. How far is the boat from the base of the cliff?
Solution:
Distance = height / tan(angle) = 100 / (1/√3) = 100 * √3 = 173.21 meters.
Steps: 0
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