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Grace is standing 14 feet from a lighthouse and Kelly is standing 12 feet from Grace. The angle that Grace looks up to see the top of the lighthouse is 45°. The angle that Kelly…

Grace is standing 14 feet from a lighthouse and Kelly is standing 12 feet from Grace. The angle that Grace looks up to see the top of the lighthouse is 45°. The angle that Kelly…
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Grace is standing 14 feet from a lighthouse and Kelly is standing 12 feet from Grace. The angle that Grace looks up to see the top of the lighthouse is 45°. The angle that Kelly looks up to see the top of the lighthouse is y°.

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User Iraklisg
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1 Answer

5 votes
The height of the lighthouse is :
h = 14 ft ( same as the distance from Kelly to a lighthouse ).
tan y = 14 / ( 14 + 12 ) = 14 / 26 = 0.5384615
y = tan^(-1) 0.5384615 = 28.3°
Answer: y = 28.3°
answered
User Querenker
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7.9k points
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