How far

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

Correct result:

x =  262 ft

Solution:

tan29=145/x x=145/tan29=tan29π/180=262 ft\tan 29^\circ =145/x \ \\ x=145 / \tan 29 ^\circ =\tan 29π/180=262 \ \text{ft}

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