Ocean Lighthouses

ocean lighthouses
What is the height of the light house, x, to the nearest tenth of a foot?

A lighthouse is built on the edge of a cliff near the ocean, as shown in the accompanying diagram. From a bost located 200 feet from the base of the cliff, the angle of elevation to the top of the cliff is 18 degrees and the angle of elevation to the top of the lighthouse is 28 degrees. What is the height of the lighthouse,x, to the nearest tenth of a foot?

200 tan (28 degrees) - 200 tan (18 degrees), if I guessed the missing diagram correctly.

:)

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