How far

From the top of a lighthouse 145 ft above sea level, the angle of depression of a boat is 29°. How far is the boat from the lighthouse?

Correct answer:

x =  262 ft

Step-by-step explanation:

y=145 ft α=29° rad=29° 180π =29° 1803.1415926 =0.50615   tan α = y:x = y/x  x=y/tanα=145/tan0.5061=262 ft

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