SOLUTION: From a boat on the lake, the angle of elevation to the top of a cliff is 24°52'. If the base of the cliff is 944 feet from the boat, how high is the cliff (to the nearest foot)?
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Question 765053: From a boat on the lake, the angle of elevation to the top of a cliff is 24°52'. If the base of the cliff is 944 feet from the boat, how high is the cliff (to the nearest foot)?
Bob is driving along a straight and level road straight toward a mountain. At some point on his trip he measures the angle of elevation to the top of the mountain and finds it to be 21°44'. Find the height of the mountain to the nearest foot if Bob is 13,428.7 feet from the center of the mountain at the base.
From a balloon 915 feet high, the angle of depression to the ranger headquarters is 85°14'. How far is the headquarters from a point on the ground directly below the balloon (to the nearest foot)?
A person is watching a boat from the top of a lighthouse. The boat is approaching the lighthouse directly. When first noticed the angle of depression to the boat is 16°18'. When the boat stops, the angle of depression is 48°51'. The lighthouse is 200 feet tall. How far did the boat travel from when it was first noticed until it stopped? Round your answer to the hundredths place.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Angle =
ground distance = 944ft
slope m=Tan = Rise/run
Rise = height of cliff
run = distance on ground
0.453= H/944
H= 437.5 ft
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