From a point on the floor the angle of elevation to the top of a door is 51°, while the angle of elevation to the ceiling above the door is 63°. If the ceiling is 10.9 feet above the floor, what is the vertical dimension of the door (see the figure below)? (Round your answer to one decimal place.)

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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

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Q: A backyard slide is designed for a child's playground. If the top of the 14-ft slide makes an angle…

A: We know that trigonometric ratios :  sin ( theta ) = perpendicular / hypotenuse

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Q: From the top of a 220-ft lighthouse, the angle of depression to a ship in the ocean is 24°. How far…

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Q: A backyard slide is designed for a child's playground. If the top of the 15-ft slide makes an angle…

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Q: A 17-ft ladder is leaning against a building. If the base of the ladder is 7 ft from the base of the…

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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°.…

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Q: The angle of elevation to a nearby tree from a point on the ground is measured to be 65∘∘. How tall…

A: given: The angle of elevation to a nearby tree from a point on the ground is measured to be . we…

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Q: The angle of elevation to a nearby tree from a point on the ground is measured to be 47°. How tall…

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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…

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Q: A 23-ft ladder is leaning against a building. If the base of the ladder is 5 ft from the base of the…

A: Since the triangle ABC is right-angled. Consider the length AC is the length of the ladder, BC is…

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Q: The angle of elevation to a nearby tree from a point on the ground is measured to be 73°. How tall…

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Q: From a point on the floor the angle of elevation to the top of a door is 46°, while the angle of…

A: To determine the value of x.

Q: From a point 100 feet from the base of a tree on level ground the angle of inclination to the top of…

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Q: From the top of a 160-ft lighthouse, the angle of depression to a ship in the ocean is 23°. How far…

A: Given query is to find the distance of the ship from the light house.

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A: This problem is based on Pythagoras theorem, which states that in a right angled triangle, the…

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A: Height of the lighthous and angle of depression is given. So first draw the digram then use the…

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

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Q: The base of the ladder in the figure is  a = 10  ft from the building, and the angle formed by the…

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Q: The angle of elevation to a nearby tree from a point on the ground is measured to be 64°. How tall…

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Q: A 35-foot ladder is leaning against the side of a building. If the ladder makes an angle of 24o 10'…

A: Given:A 35-foot ladder is leaning against the side of a building and it makes an angle of 24 degree…

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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…

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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: A 7-ft ladder leans against the side of a house. How far is the bottom of the ladder from the side…

A: Angle of elevation of ladder =64∘ Here we will apply cosine formula which is given as-…

Q: At an altitude of 3,500 ft, the engine on a small plane fails. What angle of depression is needed to…

A:

Q: The base of the ladder in the figure is a 7 ft from the building, and the angle formed by the ladder…

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Q: Assuming that a 380-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A: Height of redwood = 380 ftAngle of elevation = 51°Let distance between me and the base of redwood =…

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

A:

Q: A 19-ft ladder is leaning against a building. If the base of the ladder is 7 ft from the base of the…

A:

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…

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Q: The base of the ladder in the figure is a = 12ft from the building, and the angle formed by the…

A: Let h be the height of the building where the ladder touches the building. Given:  To find: We have…

Q: The base of the ladder in the figure is a = 5 ft from the building, and the angle formed by the…

A: Topic :- trigonometry and triangle

Q: What is the angle of depression from the plane to the​ building?(Round to the nearest degree as​…

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Q: A 18-ft ladder is leaning against a building. If the base of the ladder is 7 ft from the base of the…

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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.