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Answer :
From the top of a lighthouse 59 feet above sea level, the angle of depression to a small boat is 10.3°. The boat is approximately 308.29 feet away from the foot of the lighthouse.
To solve this problem, we can use trigonometry. The angle of depression is the angle between a horizontal line and the line of sight from the top of the lighthouse to the boat. We can use the tangent function to find the distance from the foot of the lighthouse to the boat.
Tan(angle) = opposite / adjacent
Tan(10.3°) = 59 / x
x = 59 / tan(10.3°)
x ≈ 308.29 feet
Therefore, the boat is approximately 308.29 feet away from the foot of the lighthouse.
Learn more about the topic of trigonometry here:
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