A lighthouse keeper is in the top of a lighthouse 95 feet above sea level. She notes that the angle of depression to a rock jutting just above the water is 6° . How far is the rock from the lighthouse?

Q: How high does a 17-foot-tall temporary support post reach when it is positioned at a 30° angle to…

A: Let height be h and we know that in a right angle triangle  sinθ=side opposite to…

Q: It is 58 road miles from Denver to the Eisenhower tunnel. Denver is 5882 ft above sea level. The…

A: The distance between Denver to the Eisenhower Tunnel is 58 milesDenver is 5882 ft above mean sea…

Q: Fred was measuring the height of a building. He stood standing at some distance from the building…

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Q: A six foot man is standing 80 feet away from a building.  He looks up at a 30° angle to see the top…

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Q: A man lies 18 horizontal feet from the base of a wall. He must incline his eyes at an angle of 21…

A: It is given that,  A man lies 18 horizontal feet from the base of a wall. He must incline his eyes…

Q: A 6-foot-tall worker stands 40 feet away from a crumbling tower. The angle of elevation to the top…

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Q: A surveyor in an airplane travelling east sees a lake in front of her. The angle of depression to…

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Q: The shadow of a man is 10 feet long when the angle of elevation of the sun is 30.5°. Determine the…

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Q: From the top of an 82 meter high vertical cliff, a boat has an angle of depression of 32 degrees.…

A: We will use trigonometric ratio to solve this.

Q: Kara is standing on the edge of a 15-foot high diving board. Her friend, Sierra, is treading water…

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Q: A lifeguard is sitting on a platform. His eye level is 5 m above sea level. Martha and Sammy are…

A: Given query is to find the distance between Martha and Sammy.

Q: A monument is 35m tall. What is the length of its shadow when the angle of elevation of the sun is…

A: We know that tan(θ)=opposite sideadjacent side