From a hotel window 30 meters above the ground, Alan finds that the angle of elevation of the top of a monument is 10 degrees and the angle of depression of the foot of the monument is 20 degrees. What is the height of the monument?

Q: A man standing near a radio station antenna observes that the angle of elevation to the top of the…

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Q: The angle of elevation of a pedestrian crosswalk over a busy highway is 9.34°​,as shown in the…

A: The solution is:

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 an airplane at an altitude of 1200 m, the angle of depression to a rock on the ground measures…

A: This question is related to height and distance, we will solve it using given information.

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: 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: 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: A man is lying on the beach, flying a kite. He holds the end of the kite string at ground level and…

A: A man is lying on the beach, flying a kite. He holds the end of the kite string at ground level and…

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: A 300 foot tall monument is located in the distance. From a window in a building a person determines…

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Q: A surveyor stands on a grassland and sees an evergreen tree on the side of a hill. Using their…

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Q: A ship sailing parallel to shore sights a lighthouse at an angle of 20° from its direction of…

A: Given a ship sailing parallel to shore sighta lighthouse at an angle of 20°

Q: As Paula looks up at the top of the monument, she finds that the angle of elevation is 20 degrees.…

A: Given:Degree=20°Monument tall=5 meterstanx=opposite sideadjacent side

Q: Suppose you are headed toward a plateau 63m high. If the angle of elevation to the top of the…

A: Suppose you are headed toward a plateau 63m high. The angle of elevation to the top of the plateau…

Q: From a hot air balloon 2,500 feet above the ground, you see a clearing whose angle of depression is…

A: The height is 2,500 feet above the ground. The angle of depression is 25°

Q: From a point on the floor the angle of elevation to the top of a door is 47°, while the angle of…

A:

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: A satellite orbiting the earth passes directly overhead at observation stations in Phoenix and Los…

A:

Q: What should be the height of a flagpole where a 20 feet long ladder reaches 20 feet below the top of…

A: Given: The length of the ladder is 20 feet long.

Q: An extension ladder, which is 65m long, rests on top of a hook-and-ladder truck. The base of the…

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Q: To estimate the height of a mountain above a level plain, the angle of elevation to the top of the…

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Q: A bird is flying in the sky when it spots a worm on the ground. If the angle of depression from the…

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Q: At a spot 400 feet from the base of a building the angle of elevation to the bottom of a flag pole…

A: To find height of flagpole

Q: Gina is standing near a building and notices that the angle of elevation to the top of the building…

A: Let 'h' ft be the height of the building. Let the starting position of Gina be A.  She moved 78ft…

Q: at the same basketball game during halftime, the home team's mascot has a t-shirt launcher in which…

A:

Q: From a window,30.0 ft above the street, the angle of elevation to the top of a building is 50° and…

A:

Q: An 8-foot ladder leaning against a wall makes an angle of 74 with the ground. How high up the wall…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

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: A 300-foot tall monument is located in the distance. From a window in a building, a person…

A:

Q: A satellite orbiting the earth passes directly overhead at observation stations in Phoenix and Los…

A:

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

A:

Q: A person standing on the street looks up to the top of a building and finds the angle of elevation…

A: Given that the person is standing near the building

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

A:

Q: A 6-meter long ladder is leaning against a wall. If the top of the ladder makes an angle of 450 with…

A: A 6-meter long ladder is leaning against a wall. If the top of the ladder makes an angle of 450 with…

Q: From a building across the street, the angle of depression of the foot of an edifice is measured as…

A:

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: From the top of a lighthouse was 60 m above sea level. A ship located 1200 m from the shore could…

A: Given:   To determine: angle of depression θ

Q: To estimate the height of a mountain above a level plain, the angle of elevation to the top of the…

A: First we draw a rough sketch from the given information.Let height of the mountain is h.

Q: An observer saw a canoe 8 meters below the cliff that makes a viewing angle with respect to the…

A: Given conditions can be drawn as follows, Here, Angle of depressions 30o and angle ABC are…

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

A:

Q: and

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Q: The angle of elevation to the top of a building is 38 . From a point 440 ft. farther away the angle…

A:

Q: A large weather balloon is tethered by two ropes. The shorter rope is measures 20 feet and attaches…

A: The shorter rope is measures 20 feet and attaches to the balloon at an angle of 32 degrees from the…

Q: From his eye, which stands 1.5 meters above the ground, Zachary measures the angle of elevation to…

A:

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

A:

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: Suppose your angle of elevation to the top of a water tower is 78°. If the water tower is 145 ft…

A: Here we will use the concept of trigonometry and find the solution. We have to find the distance…

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°…

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.