Answer to Question #344387 in Trigonometry for leni

Question #344387

Two boats 1200 feet apart measures an angle of elevation of 35 degree and 42 degree to the top of a lighthouse. how tall is the lighthouse?


1
Expert's answer
2022-05-24T23:19:57-0400

Let "h=" the height of lighthouse.

The ditance from the first boat to the foot of the lighthouse is "\\dfrac{h}{\\tan 35\\degree}."


The distance from the second boat to the foot of the lighthouse is "\\dfrac{h}{\\tan 42\\degree}."

Then


"\\dfrac{h}{\\tan 35\\degree}-\\dfrac{h}{\\tan 42\\degree}=1200"


"h=\\dfrac{1200\\tan 35\\degree\\tan 42\\degree}{\\tan 42\\degree-\\tan 35\\degree}=3779(ft)"

"3779ft=1152m"

I think the answer has no sense.



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