From a boat on the lake, the angle of elevation to the top of a cliff is 18°41'. if the base of the cliff is 991 feet from the boat, how high is the cliff (to the nearest foot)?

Notice the picture below, and recall your SOH CAH TOA



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also notice, the angles in are degrees and minutes, so, I think many or most calculators have degrees and minutes and seconds to enter the value

otherwise you can just covert the 41' to degrees by 41/60, since there are 60 minutes in 1 degree, so in degrees will be 18 + 41/60

and make sure your calculator is in Degree mode as well

Tan(18+41/60)=h/991

h=991tan(18+41/60)

h=335 ft

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