A survey team is trying to estimate the height of a mountain above a level plain. From one point on the plain, they observe that the angle of elevation to the top of the mountain is 31°. From a point 2000 feet closer to the mountain along the plain, they find that the angle of elevation is 34°. How high (in feet) is the mountain?

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Q: A 200-foot cliff drops vertically into the ocean. If the angle of elevation from a ship to the top…

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Q: From a window 31.0 ft above the street, the angle of elevation to the top of the building across the…

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Q: Find the angle that an 18-foot ladder leaning against a wall makes with the ground If the bottom of…

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Q: In order to reach the top of a hill which is 250 feet high, one must travel 2000 feet straight up a…

A: Definition used -                           sinθ =OppositeHypotenuse

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A: A man is lying on the beach, flying a kite. He holds the end of the kite string at ground level and…

Q: What is the angle of elevation from the ground to the top of a 45-ft tree from 65 feet away? Round…

A: Given,          The ground to the top of a 45-ft tree from 65 feet away.

Q: A 12-ft ladder leans against a wall of a house in such a way that it makes an angle of 67° with the…

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Q: A woman is standing on an 85-meter tall cliff.  She spots a boat in the water below at an angle of…

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Q: A 300 foot tall monument is located in the distance. From a window in a building a person determines…

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A: Given, Ladder length=5 meters leaning against a vertical wall makes an angle of 65 degrees on the…

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Q: A student stands at point A and measures the angle of elevation to the top of a building at 30°. She…

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Q: From the top of a cliff 280 meters high, the angle of depression of a boat is 25°. How far from the…

A: We  Have to determine from the base of the cliff is the boat?

Q: Suppose that you are headed toward a plateau 21 meters high. If the angle of elevation to the top of…

A: Let’s analyse the given information pictorially.

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Q: An eagle spotted a mouse 20 feet below at an angle of 42 degrees with the horizon. If the eagle…

A: From the given problem, The mouse is 20 feet below the horizon, sp EM = 20 feet The angle of…

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A: Length of the ladder is 8 foot and length of the wall is 7 feet. We have to find the angle between…

Q: A hiker at the top of a 462-ft mountain measures the angle of depression from the top of a mountain…

A: NOTE: Refresh your page if you can't see any equations. . here we have AB=462 C=5 BC=x

Q: To estimate the height of a mountain above a level plain, the angle of elevation to the top of the…

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Q: A water tower is located 325ft from a building. From a window on the 10th floor, the angle of…

A: As given in the question distance of water tower is 325 ft from building, the angle of elevation to…

Q: A radio tower is located 400 feet from a building. From a window In The building, a person…

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Q: The angle of elevation from an observer to the top of achurch is 0.3 radian, while the angle of…

A: Firstly Change radian to degree       0.3 radian =17.1887°0.4 radian =22.9183° According to…

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A: A 6-meter long ladder is leaning against a wall. If the top of the ladder makes an angle of 450 with…

Q: From a point on level ground 145 feet from the base of a tower, the angle of elevation is 52.6°.…

A: Given From a point on level ground 145 feet from the base of a tower, the angle of elevation is…

Q: . A monument is 550 feet high. If you are standing one quarter of a mile, or 1320 feet, from the…

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Q: To estimate the height of a mountain above a level plain, the angle of elevation to the top of the…

A: First we draw a rough sketch from the given information.Let height of the mountain is h.

Q: From the top of a fire tower that is 45 feet high, a forest ranger sees her colleague on the ground…

A: From the top of a fire tower that is 45 feet high, a forest ranger sees her colleague on the ground…

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A: Given  It has to find distance from a person to base of plateau. Here p=100 feet's

Q: From a window 33.0 ft above the​ street, the angle of elevation to the top of the building across…

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A: Given: A 3000-lb car traveling uphill has a grade resistance of 150 lb.

Q: in a building, a person determines that the angle of elevation to the top of the monument is 15° and…

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Q: player is

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Q: A submarine traveling at 9 mph is descending at an angle of depression of 5 degrees. How many…

A: Given, a submarine traveling at 9 mph is descending at an angle of depression of 5 degrees.

Q: A girl is on the beach and the angle of elevation from her feet to the top of a lighthouse is 62° .…

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Q: A radio tower is located 425 feet from a building. From a window in the building, a person…

A: Given that, a radio tower is located 425 feet from a building and the angle of elevation to the top…

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Q: A radio tower is located 300 feet from a building. From a window In The building, a person…

A: Answer is in below step

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Q: A hot-air balloon is floating above a straight road. To calculate their height above the ground, 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.