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A lighthouse is built on the edge of a c...


A lighthouse is built on the edge of a cliff near the ocean, as shown in the diagram above. From a boat located 200 feet from the base of the cliff, the angle of elevation to the top of the cliff is `18^(@)` and the angle of elevation to the top of the lighthouse is `28^(@)`. Which of the following equations could be used to find the height of the lighthouse, x, in feet?

A

`x=200tan10^(@)`

B

`x=200(tan28^(@)-tan18^(@))`

C

`x=(200)/(tan28^(@)-tan18^(@)`

D

`x=200((tan18^(@))/(tan28^(@)))`

Text Solution

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The correct Answer is:
B
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