A man wants to determine the height of a light house. He measured the angle from the ground and found that tan A = 3/4. What is the height of the light house if A is 40 m from the base ?

Q: A dog looks up at a cat who has climbed a 29 foot tree. If the dog is 59 feet from the base of the…

A: The relation between the angles of a triangle and the sides of the triangle is given by the…

Q: An observer is 120 ft from the base of a television tower, which is 150 ft tall. Find the angle of…

A: Given query is to find the angle of elevation.

Q: To calculate the height of a tree, Marie measures the angle of elevation from a point A to be 46°.…

A: The sides and angles of a right triangle are related by the trigonometric functions. Trigonometric…

Q: What is the angle of depression e of the line of sight of a man looking at an object C below?…

A: Tan x = opposite side/Adjacent side

Q: An airplane is flying 5000 feet above the ground. If the angle of depression to the airport runway…

A: Use tan theta to calculate ground distance

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

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

Q: At 11:30 A.M. the angle of elevation of the sun for Washington, D.C., is 55.7°. If the height of the…

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Q: A hawk is sitting on top of a tree that is 15 ft. high. It is watching a rabbit that is 18ft. from…

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Q: A surveyor stands on a grassland and sees an evergreen tree on the side of a hill. Using their…

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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: A boy flying his kite releases the entire length of his string which measures 21 m, so that the kite…

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Q: A ranger at the top of a fire tower observes the angle of depression to a fire on level ground to be…

A: From the given problem the representative diagram is as shown below.

Q: You are in a tall building and from your window you notice a window washer working on the building…

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Q: After a hurricane, a homeowner examines trees on his property for damage. He thinks a 21-ft palm…

A: After a hurricane, a homeowner examines trees and thinks a 21-ft palm tree is leaning slightly from…

Q: An observer at the top of a building sees a car on the road below. The angle of depression to the…

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Q: A projectile is fired at a speed of 800 m/sec at an angle of 60°. How long will it take to get 22 km…

A: This problem is related to projectile motion and solve this using velocity and distance…

Q: Bob, who is 2.2 m tall, is standing a distance of 15 m from a flagpole as shown below. From his…

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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: Find x, the angle of depression from the top of a lighthouse that is 188 ft above water level to the…

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Q: what is the height of the house (opposite side of the triangle)?

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Q: Kurt spots a bird sitting at the top of a 40ft tall telephone pole. If the angle of elevation from…

A: Let x be the distance between Kurt and base of the pole. Now the diagrammatic representation of the…

Q: Jazmin is flying a kite but it got caught at the top of a 24 ft tree. If she let out 100 ft of…

A: Given, Jazmin is flying a kite but it got caught at the top of a 24 ft tree. If she let out 100 ft…

Q: An observer on the roof of Building A measures a 27° angle of depression between the horizontal and…

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Q: Find x, the angle of depression from the top of a lighthouse that is 156 ft above water level to the…

A: The given figure is: To find x

Q: Juliet is standing atop a 15--foot balcony when she spots Romeo at an angle of depression of 5°. How…

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Q: The pilot of a small airplane flying 600 m above the ground notices a village 800 horizontal meters…

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Q: From the top of a lighthouse 18 m high, the angle of depression to sighta boat is 4°. What is the…

A: From the top of a lighthouse 18 m high, the angle of depression to sight a boat is 4°. Let the…

Q: From a hotel window 30 meters above the ground, Alan finds that the angle of elevation of the top of…

A: Let the distance between the monument and the hotel window be x. Then we get,…

Q: A man is standing on the ground, looking at the top of an 80-ft building. The angle of elevation is…

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Q: Bob, who is 2.2 m tall, is standing a distance of 15 m from a flagpole as shown below. From his…

A: Consider a point A on the flag pole such that point B and A are at the same level from the ground.…

Q: A boy flying his kite releases the entire length of his string which measures 26 m, so that the kite…

A: Find the solution below

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

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Q: At 11:30 a.m. the angle of elevation of the sun for one city is 55.9°. If the height of a monument…

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Q: A radio tower is located 350 feet from a building. From a window in the building, a person…

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Q: Find x, the angle of depression from the top of a lighthouse that is 173 ft above water level to the…

A: We have to find the angle x.

Q: From the top of a lighthouse was 60 m above sea level. A ship located 1200 m from the shore could…

A: Given:   To determine: angle of depression θ

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: O A woman 1.65 m tall stood 50 m away from the foot of a tower and observed that the angle of…

A: Solution: The objective is to find the height of the tower

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: An Air Force pilot making a preliminary aerial survey, first observed that when he flew directly…

A: Question:An Air Force pilot making a preliminary aerial survey, first observed that when he flew…

Q: A surveyor detects that the angle of elevation to the top of a skyscraper is 14) 42°45'. After…

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Q: Twenty minutes after being launched, a hot air balloon has risen to an altitude of 300 m. The pilot…

A: To Determine: Twenty minutes after being launched, a hot air balloon has risen to an altitude of 300…

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

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Q: Find x, the angle of depression from the top of a lighthouse that is 151 ft above water level to the…

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Q: The builder of a parking garage wants to build a ramp at an angle of 12 that covers a horizontal…

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

A: Let the angle of elevation be 'θ' and the length of the string be 'x'. Let the height of the kite…

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

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Q: a person is standing on the roof of a building and is 34 feet away from the base of the building.…

A: The angles and the sides of a right triangle are related by using trigonometric functions.…

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

A: Given that a hot-air balloon is floating above a striaght road angles of depression are 21° and 23°…

Q: Zayne is standing at the bottom of a hill (point B in the diagram) looking up at his friend who…

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