From the top of a 200-ft. lighthouse, the angle of depression to a ship in the ocean is 23° . How far is the ship from the base of the lighthouse?

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 pilot is at an altitude of 3,000 ft, and is 7,060 ft in horizontal distance from the end of the…

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Q: From a window 30 feet above the street, the angle of depression of the curb on the near side of the…

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

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Q: A surveyor wishing to find the height of a lighthouse measures the angle A at a point 120 ft. from…

A: Let the height of the light of the lighthouse is h. See the picture below

Q: A lighthouse is 20 feet tall, and a boat is 50 feet from the base of the lighthouse. What is the…

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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: Suppose a 15-foot ladder leans against the side of a house so that the angle of elevation of the…

A: The objective is to find the distance of the base of the ladder from the side of the house.

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

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Q: A building is 50 ft high. At a distance away from the building, a person notices that the angle of…

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Q: 1. From the top of a 163-ft lighthouse, the angle of depression to a ship in the ocean is 27°. How…

A: From the top of a 163-ft lighthouse, the angle of depression to a ship in the ocean is 27°.How far…

Q: The angle of depression from the top of a building to the base of a car is 60∘. If the building is…

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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: 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: The angle of elevation to the top of a building from a point on the ground is 22°. If the building…

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Q: The base of a ladder is 6 ft from the building, and the angle formed by the ladder and the ground is…

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

A: The angle of elevation to the top of the tower = 28° The angle of depression to the bottom of tower…

Q: From the top of a 190-ft lighthouse, the angle of depression to a ship in the ocean is 21°. How far…

A: Given that height of lighthouse is 190 ft. And depression angle is 21°. And we find that how far is…

Q: If you place a 18 ft. Ladder 3 ft. From the base of the wall, what is the angle measure of the…

A: The cosine of an acute angle (A) in a right angles triangle is given by:   cos(A)=Side adjacent to…

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: A 90-foot rope from the top of a tree house to the ground forms a 45° angle of elevation from the…

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Q: From the top of a 167-ft lighthouse, the angle of depression to a ship in the ocean is 20°. How far…

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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: If a loading ramp is placed next to a truck, at a height of 4 feet, and the ramp is 20 feet, what…

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Q: A 40 ft. guy wire is connected to a telephone pole, forming a 21° angle with the pole. How far from…

A: Consider this right angled triangle as ABC then to calculate how far from the pole is the guy wire…

Q: From a boat on the lake, the angle of elevation to the top of a cliff is 29 degrees 4’. If the base…

A: Given that: Angle of elevation= θ =29°4' Base of the cliff = B = 380 feet To find H, the height of…

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: 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: At a point 600 feet away from the base of a building, the angle of elevation to the top of the…

A: distance between the point and the base of the building is 600 m  angle of elevation to the top of…

Q: From an airplane at an altitude (height) of 1200 m, the angle of depression to a rock on the ground…

A: Given,            From an airplane at an altitude (height) of 1200 m, the angle of depression to a…

Q: From a point of observation 135 meters from the base of a building, the angle of elevation to its…

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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: The angle of elevation to the top of Wayne Tower in Gotham City is found to be 14° from the ground…

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Q: From the top of a 25 meter tower erected at sea level, the angle of depression of a boat at sea was…

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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: A ship is just off the shore of New York City. A sighting is taken on the Statue of Liberty, which…

A: Given  Height = 305 feet  Base = 950 feet  We need to find the angle of elevation

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 3000-lb car traveling uphill has a grade resistance of 150 lb. Find the angle of the grade to the…

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

Q: The angle of elevation to the top of a flagpole is 40° from a point 30 meters away from the base of…

A: Let the height of the flagpole be h. In a right angled triangle, the tangent of an angle(other than…

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: The angle of elevation to the top of a building from a point on the ground is 24° . If the building…

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Q: From the top of a 220-ft lighthouse, the angle of depression to a ship in the ocean is 28°. How far…

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Q: The angle of depression from a bird sitting on top of a telephone pole to the base of a tree is 63°.…

A: Let α1 be angle of depression. The height of pole is 18 feet. Let the distance between pole and tree…

Q: When a 10-foot tall flagpole casts a 9-foot shadow, what is the angle of elevation of the sun? If…

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Q: From a point 250 ft from the base of a tower, the angle of elevation to the top of the tower is 18.5…

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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 32-ft ladder leans against a building so that the angle between the ground and the ladder is 79…

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

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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.