The angle of elevation from a ship to the top of a 48m lighthouse on the shore measures 27 degrees. How far is the ship from the lighthouse? Draw a picture with relevant measurements marked and round to the nearest tenth. Assume the horizontal line of sight meets the bottom of the lighthouse.

Q: The bottom of a 50-foot movie screen is 20 feet above eye level. Find the viewing angle θ from a…

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Q: 15. The angle of elevation from the ground to the top of a flagpole is measured to be 53. If the…

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Q: helps to support a tower. The angle between the wire and the level ground is 56. One end of the wire…

A: Given query is to find the height, where wire reaches on the tower.

Q: Lisa stands at the window of a building looking for her lost cat. She spots her cat 58.5 m away from…

A: Lisa spots the cat from the window of building which is at a height of 12.6 m.  The cat is at a…

Q: Find the reference angle for -420 degrees

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Q: Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AC = 20 and DC = 5, what is the…

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Q: You are standing 25 feet away from a building. Given that you are 5.7 feet tall, you find the angle…

A: You are standing 25 feet away from a building. Given that you are 5.7 feet tall, you find the angle…

Q: Find the angle of elevation of the sun, in degrees, when a 12 meter tall telephone pole casts a 21.6…

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Q: A surveyor observes that the angle between the road and the bottom of a bridge girder is 30 degrees.…

A: Given data is : Angle θ=30∘ Bridge clearance is 16.5 feet. To find the horizontal distance from the…

Q: You are 50 feet from the screen at a drive-in movie. Your eyes are 3.5 feet above the ground and 50…

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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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Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.