Answer :
Final answer:
Using trigonometry, the distance from the ship to the lighthouse is approximately 74.53 meters.
Explanation:
To find the distance from the ship to the lighthouse, we can use trigonometry. Given the angle of elevation as 33° and the height of the lighthouse as 42 meters, we can use the tangent function to calculate the distance. The formula to use is tan(angle) = opposite/adjacent.
So, tan(33°) = 42m / x. Solving for x, we get x = 42m / tan(33°), which is approximately 74.53 meters.
Therefore, the ship is approximately 74.53 meters away from the lighthouse.
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