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12. The angle of elevation from a ship to the top of a 42-meter lighthouse on the shore measures 33°. How far is the ship from the lighthouse? (Assume the horizontal line of sight meets the bottom of the lighthouse.)

Draw a picture and show your work.

Sagot :

GinnyAnswer

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.


Learn more about Trigonometry here:

https://brainly.com/question/11016599


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