To calculate the height of a tree, Marie measures the angle of elevation from a point A to be 46°. She measures her distance to be 12 m from the base of the tree. How high is the tree to the nearest tenth of a metre?

Q: In the evening, a tree that stands 12 ft tall casts a long shadow. If the angle of depression from…

A: Since, it is given that in the evening a 12 ft tall tree cast a long shadow,Also, it is given that…

Q: To estimate the height of a tree to people position himself 35 feet apart. From the first person,…

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Q: Nico is resting on a 3m high tree house and watching the top of a pole 5m from the tree. if the…

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Q: From a window, 30 ft above the street, the angle of elevation to the top of the building is 50…

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Q: From a point on the ground 12 feet from the base of a flagpole, the angle of elevation to the top of…

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Q: A 300 meter cable wire is attached to the top of a tower from the ground. The angle of elevation to…

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Q: If you stand 35 feet from the bottom of a movie screen and the screen is 75 feet tall, what is the…

A: If you stand 35 feet from the bottom of a movie screen. The screen is 75 feet tall its make a…

Q: From the third floor window of a building the angle of depression of an object on the ground is 35°…

A: Given that the angle of depression of an object on the ground from third floor window of a building…

Q: A hunter is laying on the ground near a 15 foot tall tree. He sees his prey on top of the tree at an…

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Q: a 14 yard rope is strung from the bottom of one tree to the top of another. The angle of elevation…

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Q: A person standing 364 feet from the base of a church observed the angle of elevation to the church's…

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Q: A 26 ft wall is leaning. From the base of the wall, the angle of elevation to the top of the wall is…

A: Solving the problem finding the angle between them.

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: The Statue of Liberty is approximately 305 feet tall. If the angle of elevation of a ship to the top…

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Q: If you stand 50 feet from the bottom of a movie screen and the screen is 80 feet tall, what is the…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: From the top of a 200-ft. lighthouse, the angle of depression to a ship in the ocean is 23° . How…

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Q: From the top of a fire tower, a forest ranger sees his partner on the ground at an angle of…

A: We have given angle of depression= 40°  Tower height= 45 feet  Find distance of partner from the…

Q: From the observation deck of a skyscraper, Deion measures a 48° angle of depression to a ship in the…

A: Topic = Trigonometric ratios

Q: simon is due north of a tall totem pole and walks 75m, 40° west of south. From his new position, the…

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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: At a spot 400 feet from the base of a building the angle of elevation to the bottom of a flag pole…

A: To find height of flagpole

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

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Q: A person standing 188 ft from the base of a church observed the angle of elevation to the church's…

A: Given:  The person standing 133 ft from the base of church observed the angle of elevation to the…

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 window,30.0 ft above the street, the angle of elevation to the top of a building is 50° and…

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Q: The angle of elevation from a boat to the top of a 92-meter hill is 12. How far is the boat from the…

A: The angle of elevation from a boat.

Q: A 16 foot ladder leaning against a wall of a house makes a 50 degree angle with the ground. How far…

A: We can find the answer as below

Q: To find the distance from the house at A to the house at B, a surveyor measures the angle ACB, which…

A: Given Data: The measure of angle C is: m∠C=10° The distance between A and C is: AC=50 ft The…

Q: From the top of a 213-ft lighthouse, the angle of depression to a shop in the ocean is 17°.  How far…

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Q: 2. Viola drives 170 meters up a hill that makes an angle of 6° with the horizontal. To the nearest…

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Q: The angle of depression from top of an observation deck to a bench on the ground 165 feet from the…

A: see below the answer and explanation

Q: A surveyor set up his instrument at A and measured the angle of elevation of the top of a tower and…

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Q: a man standing near a radio station antenna observes that the angle of elevation to the top of the…

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Q: When the angle of elevation to the sun is 37°, a flagpole casts a shadow that is 24.2 ft long. What…

A: Given, Angle of elevation to the sun is 37° Flagpole casts a shadow that is 24.2 ft long

Q: At a distance of 1000 miles from a tower, the angle of elevation to the top of the building is 36°.…

A: Consider the given information. Make the graph from the given information.

Q: A person standing 100 feet from the bottom of a cliff notices a tower on top of the cliff. The angle…

A: Given that  A person standing 100 feet from the bottom of a cliff. The angle of elevation of the top…

Q: To find the distance from the house at A to the house at B, a surveyor measures the angle ACB, which…

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Q: A monument is 95 meters highAt an information booth, an observer notices the angle of elevation to…

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Q: The angle of a depression from a lighthouse to a boat in the water is 14°. If the boat is 532 feet…

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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 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…

Q: The Leaning Tower of Pisa, which has a height of 55.86 m from base to top, is leaning to the…

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Q: Engineers want to measure the distance from P to Q, but the span from P to Q is across the tip of a…

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Q: From his eye, which stands 1.5 meters above the ground, Zachary measures the angle of elevation to…

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Q: From the top of a 228-ft lighthouse, the angle of depression to a ship in the ocean is 16°. How far…

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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 4-m beam is used to brace a wall. If the bottom of the beam is 3 m from the base of the wall, what…

A: Since a 4 m beam is used to brace a wall and given that if the bottom of the beam is 3 m from the…

Q: From the observation deck of a skyscraper, Bashir measures a 45° angle of depression to a ship in…

A: From the observation deck of a skyscraper, Bashir measures a 45° angle of depression to a ship in…

Q: From the top of a 156 foot lighthouse, the angle of depression to a ship in the ocean is 40°. How…

A:

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.