Asked by Zara
A lighthouse that rises 49 ft above the surface of the water sits on a rocky cliff that extends 19 ft from its base. A sailor on the deck of a ship sights the top of the lighthouse at an angle of 30.0 ∘ above the horizontal. If the sailor's eye level is 14 ft above the water, how far is the ship from the rocks?
I attempted to find the hypotenus of the triangle that I drew and I kept getting a negative number. Obviously that is not right. Thanks for the help.
I attempted to find the hypotenus of the triangle that I drew and I kept getting a negative number. Obviously that is not right. Thanks for the help.
Answers
Answered by
Henry
Tan30 = (49-14)/(X1+X2)
Tan30 = 35/(19+X2)
(19+X2)Tan30 = 35
(19+X2) = 35/Tan30 = 60.62
X2=60.62-19 = 41.62 Ft. from the rocks.
Tan30 = 35/(19+X2)
(19+X2)Tan30 = 35
(19+X2) = 35/Tan30 = 60.62
X2=60.62-19 = 41.62 Ft. from the rocks.
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