The angle of elevation from a boat to the top of a lighthouse is 10 degrees. If the height of the lighthouse is 30 meters, find the horizontal distance from the boat to the lighthouse
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The answer is approximately 5.29.
Step-by-step explanation:
You are given the side length adjacent to 10 degrees (30 m) and we'll call the opposite, the side length which is our answer, n. We are given the opposite and adjacent relative to 10 degrees, so we can use tan (opposite/adjacent) to solve for n. If you calculate:
tan(10 degrees) = n/30
30 x tan(10 degrees) = n
*type 30 x tan(10 degrees) into a calculator*
n is approximately 5.29 meters.
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