An inquisitive math student is standing 25 feet from the base of the Washington Monument. She measures the angle of elevation from her horizontal line of sight to be 87.4°. If her “eye height" is 5 feet, how tall is the monument? Round your answer to the nearest foot.

Q: A five foot tall woman is standing 18 feet from a statue. She must look up at an angle of 50 degrees…

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Q: From the top of an incline road, 256 feet long, a vertical tower at the bottom subtends an angle of…

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Q: Peter wants to measure the height of a tree. He walks exactly 100 feet from the base of the tree and…

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Q: A person standing 251 feet from the base of a church observed the angle of elevation to the church's…

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Q: At 10:30 AM Aristotle notices the angle of the sun makes a 15 meter shadow when it is behind a 12…

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Q: From his eye, which stands 1.61 meters above the ground, Jacob measures the angle of elevation to…

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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: At 11:30 A.M. the angle of elevation of the sun for Washington, D.C., is 55.7°. If the height of the…

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Q: You are in a tall building and from your window you notice a window washer working on the building…

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Q: From a hot-air balloon, Addison measures a 27∘∘ angle of depression to a landmark that’s 989 feet…

A: given: From a hot-air balloon, Addison measures a angle of depression to a landmark that’s 989 feet…

Q: Bob, who is 2.2 m tall, is standing a distance of 15 m from a flagpole as shown below. From his…

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Q: A forester, 175 feet from the base of a redwood tree, observes that the angle between the ground and…

A: Let AB be the height of the tree and C be the position of the Forester as shown below.

Q: Find x, the angle of depression from the top of a lighthouse that is 188 ft above water level to the…

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Q: You are standing 15 feet away from a tree, and you measure the angle of elevation to be 35∘. How…

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Q: what is the height of the house (opposite side of the triangle)?

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Q: A child is enjoying a Saturday afternoon flying a kite. While holding the string 4 feet above the…

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Q: at is the horizontal distance from the base of t

A: Given: From the observation deck of a skyscraper, Isabella measures a 67o angle of depression to a…

Q: From a hot-air balloon, Zoe measures a 37° angle of depression to a landmark that's 1441 feet away,…

A: Solution:-angle of depression, θ=37°angle of depression=angle of elevationhorizontal distance…

Q: Find x, the angle of depression from the top of a lighthouse that is 156 ft above water level to the…

A: The given figure is: To find x

Q: A kite is 50 feet high when 170 feet of string is out. What angle does the kite make with the ground…

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Q: A telephone company is building a 30-foot antenna to carry cell phone transmissions. As shown in the…

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Q: The hypotenuse of a right triangle measures 2v15 centimeters and its shorter leg measures 2V6…

A: The hypotenuse of a right triangle measures 215 cm and its shorter leg measures 26 cm. We have to…

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: Bob, who is 2.2 m tall, is standing a distance of 15 m from a flagpole as shown below. From his…

A: Consider a point A on the flag pole such that point B and A are at the same level from the ground.…

Q: A boy flying his kite releases the entire length of his string which measures 26 m, so that the kite…

A: Find the solution below

Q: The most powerful lighthouse on Lake Michigan is 50 m tall. Suppose you are in a boat just off the…

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Q: From the top of a 214-ft lighthouse, the angle of depression to a ship in the ocean is 29. How far…

A: From the top of a 214-ft light house, the angle of depression to a ship in the ocean is 29°. we have…

Q: At 11:30 a.m. the angle of elevation of the sun for one city is 55.9°. If the height of a monument…

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Q: Why do you think there are two different ways to measure angles? When do you think it might be more…

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Q: Find the angle of depression from the top of a lighthouse 400 feet above water level to the water…

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Q: From the top of a 200 meters high building, the angle of depression to the bottom of a second…

A: Given- From the top of 200 m high building, the angle of depression to the bottom of a second high…

Q: An escalator in a department store rises 80 feet at a 32° angle, as shown below. 80 feet What is the…

A: It is a right angle triangle so  SinA = opposite side/ adjacent side Given A =32o And opposite side…

Q: Find x, the angle of depression from the top of a lighthouse that is 173 ft above water level to the…

A: We have to find the angle x.

Q: A surveyor measured the angle of elevation of a flat spire as 15° from a point on horizontal ground.…

A: Let the height of the spire is the measurement of a line segment which is normal to the horizontal…

Q: a surveyor is modeling how tall a new building for a project must be. If he is standing 200 feet…

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Q: A surveyor measured the angle of elevation of a flat spire as 15⁰ from a point on horizontal ground.…

A: Given data is : Angle of elevation of a flat spire as 15∘ from a point on horizontal ground. He…

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 peak of Mt. Fuji in Japan is approximately 12,400 feet high. A trigonometry student, several…

A: The height of the peak is 12,400 feet.

Q: The hypotenuse of a right triangle measures 2v15 centimeters and its shorter leg measures 26…

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Q: Xavier leans a 28-foot ladder against a wall so that it forms an angle of 69° with the ground. How…

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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: A surveyor detects that the angle of elevation to the top of a skyscraper is 14) 42°45'. After…

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Q: Julia leans a 18-foot ladder against a wall so that it forms an angle of 68° with the ground. How…

A: topic - trigonometric ratios

Q: Find x, the angle of depression from the top of a lighthouse that is 151 ft above water level to the…

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Q: The builder of a parking garage wants to build a ramp at an angle of 12 that covers a horizontal…

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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: Man holds the end of the kite string at ground level and estimates the angle of elevation of the…

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 hot-air balloon is floating above a straight road. To calculate their height above the ground, the…

A: Given that a hot-air balloon is floating above a striaght road angles of depression are 21° and 23°…

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

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Q: From the observation deck of a skyscraper, Jamal measures a 51° angle of depression to a ship in 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.