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: A sprinkle has 25 foot spary and covers an angle of 60 degrees. What is the area that the sprinkler…

A: It is given that the sprinkler sprays water at a distance of 25 feet which covers an angle of 60…

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: the toronto stock exchange is housed in the exchange tower. From the top of the building, the angle…

A: Given: θ=55.6° According to given data figure will be as follows: Where; h is height of building…

Q: University of Louisville is currently winning the football game against the University of Kentucky.…

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Q: An electric pole is 85 feet tall and stands vertical. A guy wire 180 feet long is attached from the…

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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 tallest television transmitting tower in the world is in North Dakota. From a point on level…

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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: There is an escalator that is 1083.6 feet long and drops a vertical distance of 196.1 feet. What is…

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Q: To estimate the height of a building, a student stood a certain distance from a building and…

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Q: Light poles use guy wires for support and electrical grounding. Suppose a 27.5-foot guy wire is…

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Q: The leaning tower of Pisa in Italy is 55.9 m tall and is leaned at an angle of 86˚ with the ground.…

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Q: The height of an inaccessible cliff needs to be calculated. From a boat, which is 187 meters out…

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Q: The lifeguard stand is 10 ft high. A lifeguard is looking down at a swimmer in a swimming pool.…

A: Given Data: The height of the lifeguard stand is: h=10 ft The angle of depression is: ∠L=41° The…

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.