From a point on the floor the angle of elevation to the top of a door is 47°, while the angle of elevation to the ceiling above the door is 59°. If the ceiling is 9.8 feet above the floor, what is the vertical dimension of the door?

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

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Q: When the direction of the sun makes an angle of 35.2° with the horizontal, an oil derrick casts a…

A: When the direction of the sun makes an angle of 35.2° with the horizontal, an oil derrick casts a…

Q: how far is the partner from the base of the tower, to the nearest tenth of a foot?

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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: 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: 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: The angle of depression from an airplane to the top of an air traffic control tower is 56°. If the…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

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

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

A: for the upper triangle, use the tan function  tan36=x400 x=400tan36 x=400·0.7265425 x=290.61701

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: The angle of elevation from a viewer to the top of a flagpole is 50°. If the viewer is 40 feet away…

A: Solution: In ∆ABCtan 50°  =ABBC⇒ tan 50×40 = h                   h = 47.67                   h =…

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: The angle of elevation from an observer to thetop of a building is 35°. If the observer is 155…

A: To height of the building is calculated by measuring the distance from the object and the…

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 elevation to the top building in Chicago is found to be 9 degrees from the ground at a…

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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: If you stand 25 feet from the base of a tree on level ground and the angle from ground to the top of…

A: Given information: Consider AB is the height of the tree, and BC is the distance from the base of…

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: 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 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: The top of the building makes an angle of elevation of 40 degrees from a car parked on the ground.…

A: From triangle,tan40o = 60xx = 60tan40o = 71.50 mSo, the car is parked 71.50 m away from the base of…

Q: The angle of elevation to the top of a Building in New York is found to be 5 degrees from the ground…

A: From the given information, Angle of elevation of a Building from ground, θ=50 Distance from the…

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…

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 20-ft ladder is leaning against a building. If the base of the ladder is 6 ft. from the base of…

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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: 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: Suppose the Eiffel Tower is located 1000 feet from a building. From a window in the building, a…

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Q: From a point on level ground 120 feet from the base of a tower, the angle of elevation is 48.3°.…

A: Definition used -             trigonometric ratio -             In a right angle triangle -…

Q: The angle of elevation to the top of a Building in New York is found to be 3 degrees from the ground…

A: Consider the below figure

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 from the top of one building to another is 26°. If the shorter building is…

A: We can use  the tangent to find this.........   tan 26°  =  (400  + h)1500     where (400 + h) is…

Q: From a point on level ground 80 feet from the base of a building, the angle of elevation is 25.6°.…

A: We have to find approximate height of the building to the nearest foot where angle of elevation is…

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: The angle between the bottom of the fence and the top of the tree is 75 degrees. The tree is four…

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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 know that the trigonometric ratio of tangent is  tan(x) = perpendicular / adjacent  tan(x) =…

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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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: and

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

A: Answer is in below step

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: The angle of elevation from a fishing boat to the top of a lighthouse is 5°. If the top of the…

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Q: what is the angle of elevation of the ladder? how high does the ladder reach on the building?

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.