From a 200 foot tower on the shore a man sees a ship at sea. If the angle of depression from the man to the ship is 15°, how far out (horizontally) is the ship?

Q: From a window 30 feet above the level ground, a building 100 feet high, and at a distance of 200…

A:

Q: A triangular lot has sides 1,460 ft, 2,740 ft, and 1,720 ft long. Find its largest angle in degrees.…

A: We use Cosines and sines formula.

Q: To the nearest degree, what is the angle of depression from the hawk to the rabbit? 34° O 40° O 50°…

A: Let the angle of depression be X

Q: A surveyor starts at the edge of a lake, at point A, and measures a 90° angle between B and C, as…

A: Here we will find the length of the lake between A and C,

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

A:

Q: When a six-foot pole casts a four-foot shadow, what is the angle of elevation of the Sun? Round to…

A: A six-foot pole casts a four-foot shadow. Now the diagrammatic representation is,

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: Upon approaching a house, Mary hears Lynn shout to her. Mary, who is standing 10 ft from the house,…

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Q: A is located 250 ft from a building. From a window in the building, a person determines that the…

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Q: A 22-ft ladder leans against a building so that the angle between the ground and the ladder is 67°.…

A: Here AC is ladder of length 22 ftAB is buildingBC is ground and the angle between the ladder and…

Q: A 18-ft ladder leans against a building so that the angle between the ground and the ladder is 74°.…

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Q: The angle of depression from the top of a tower to a rock on the ground is 38°. If the tower is 25…

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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…

A: Here use we have to use trigonometric ratio to find the angle required.

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: A ship is on the surface of the water, and its radar detects a submarine at a distance of 238 ft, at…

A: Here we have to use basic trigonometric ratios to find the depth of the submarine.

Q: Two tugboats that are a = 110 ft apart pull a barge, as shown. If the length of one cable is b = 202…

A: Given that We have to evaluate the angle formed by two cables

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: 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: 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…

Q: A ladder that is 20ft long is leaning against the side of a building. If the angle formed between…

A: A ladder that is 20 ft. long is leaning against the side of a building and the angle formed between…

Q: From the top of a 158-ft lighthouse, the angle of depression to a ship in the ocean is 15°. How far…

A: Given that, From the top of a 158-ft lighthouse, the angle of depression to a ship in the ocean is…

Q: The angle of elevation from a viewer to the center of a fireworks display is 55°, If the viewer is…

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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: A person is standing 32 feet away from the bottom of a tree. If the angle of elevation to the top of…

A: A triangle is a polygon having three sides and three vertices. Sum of interior angles of triangle is…

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

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

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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: 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: A telephone pole in Valdosta casts no shadow at the same time as a telephone pole in Atlanta casts a…

A: Given A telephone pole in Valdosta casts no shadow And at the same time as a telephone pole in…

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: From a point on level ground 25 feet from the base of a tower, the angle of elevation to the top of…

A: Draw a schematic diagram of given figure.

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: . The Sears Tower in Chicago is 1454 feet tall and is situated about 1 mile inland from the shore of…

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Q: To measure the height of a flagpole, Jan Marie found that the angle of elevation from a point 24.7…

A: To find the height of the flagpole.

Q: From the top of a 200-ft lighthouse, the angle of depression to a ship in the ocean is 29°. How far…

A:

Q: An 18 ft. tree casts a 15 ft. long shadow as shown in the following figure. Which of the following…

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Q: If you have a 16-ft extension ladder, and you place it against a wall so that it has a 35-degree…

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Q: A player takes a shot 22 ft. away from the base of the goal but the puck hits the top of the goal…

A: A player takes a shot 22 ft. away from the base of the goal but the puck hits the top of the goal…

Q: The angle of elevation to the top of the building is 69 If the firefighter is 26 feet from the…

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Q: 1) From the top of a coconut tree is 20m tall. A dog is spotted at an angle of depression of 15°.…

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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 man, standing on top of a building that is 1,000 feet high, looks down with an angle of depression…

A: Given,The height of the building is 1000 feet.The angle of depression is 12 degree.Let AC be the…

Q: A 45.0 – m guy wire is attached to the top of a 33.6 – m antenna and to a point on the ground. How…

A: The solution is given below

Q: A man climbs 213 meters up the side of a pyramid and finds thatthe angle of depression to his…

A: A man climbs 213 meters up the side of a pyramid and finds that the angle of depression to his…

Q: A 15-ft ladder leans against a building so that the angle between the ground and the ladder is 74…

A: Let AB represent the building and AC represent the ladder. So the triangle formed by the ladder,…

Q: From the top of a 200-ft high tank, the angle of depression to a house is 15.5°. How far away is the…

A: Consider, AB represents the height of the tank and C represents the house; x represents the distance…

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

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Q: A 19-ft ladder leans against a building so that the angle between the ground and the ladder is 63°.…

A:

Q: A person 100 meters from the base of a tree, observes that the angle between the ground and the top…

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.