If you are standing 200 ft from the face of a vertical cliff and the angle θ of elevation from the ground at your position to the top edge of the cliff is 10°, find the height of  the cliff.

Q: A passenger lift runs 680 ft up the side of a mountain from the base to an exit station. If the…

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Q: Suppose you know that a building has a height of 540 feet and when you stand a distance away from…

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Q: What is the angle of elevation from the ground to the top of a 45-ft tree from 65 feet away? Round…

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Q: Please help me find angle C

A: To calculate the angle C in the given right-angled triangle ABC.

Q: An airplane climbs at an angle of 44° with the ground. What is the distance it has traveled in the…

A: An airplane climbs at an angle of 44° with the ground. What is the distance it has traveled in the…

Q: The angle of elevation to the top of a building changes from 20° to 40° as an observer advances 75…

A: The initial angle of elevation is 20°, the final angle of elevation 40°, and the change in position…

Q: What is the angle of elevation from the ground to the top of a 45-ft tree from 65 feet away? Round…

A: Given,          The ground to the top of a 45-ft tree from 65 feet away.

Q: At a certain time of day your shadow is 6 feet long. What would be your angle of elevation to the…

A: First, draw the diagram depicting this scenario. Then, use the tangent ratio to determine the angle…

Q: Suppose that you are headed toward a plateau 50 meters high. If the angle of elevation to the top of…

A: Given, The height of plateau = 50 m The angle of elevation = 20o

Q: A woman is standing on an 85-meter tall cliff.  She spots a boat in the water below at an angle of…

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Q: Louie and Bugs, who are standing 90 feet apart, are lookin them. If the angle of elevation from…

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Q: A man 5 ft tall casts a shadow of 5 ft on the ground. Find the angle of elevation of the sun?

A: given height of a man is 5ftShadow of 5ft on the groundfind the angle of elevation of the sun?

Q: A sailor wants to anchor his sailboat 30 m from a lighthouse that is 12 m tall. Determine the angle…

A: We have to find angle of elavation

Q: Find the angle of elevation from point C to point A.

A: Given, ∠A=58°, AB=6m,  ∠B= 90°

Q: You stand 50 inches from the base of the lamp post with a height of 130 inches. Find the angle of…

A: Given base is 50 inches from you andheight of lamp post is 130 inchesWe need to find angle of…

Q: An airplane is flying at an altitude of 11,000 feet. The pilot wants to make a smooth final descent…

A: Given that, altitude = 11,000 feet angle of depression = 5 degree.

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: Find the angle that an 18-foot ladder leaning against a wall makes with the ground if the bottom of…

A: Here use we have to use trigonometric ratio to find the angle required.

Q: Suppose that you are headed toward a plateau 21 meters high. If the angle of elevation to the top of…

A: Let’s analyse the given information pictorially.

Q: height of the building

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Q: A man lies 18 horizontal feet from the base of a wall. He must incline his eyes at an angle of 21…

A: It is given that,  A man lies 18 horizontal feet from the base of a wall. He must incline his eyes…

Q: If an airplane makes a 15 degree angle of elevation From the runway when it takes off the plane is…

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Q: A telephone pole is 55 feet tall. A guy wire 80 feet long is attached from the ground to the top of…

A: According to the question the figure is,

Q: A hiker at the top of a 462-ft mountain measures the angle of depression from the top of a mountain…

A: NOTE: Refresh your page if you can't see any equations. . here we have AB=462 C=5 BC=x

Q: An airplane climbs at an angle of 15 degrees with the ground . What is the ground distance it has…

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Q: Mo is on a baseball team and hears that a ball thrown at a 44 degree angle from the ground will…

A: Given, Mo is on a baseball team and hears that a ball thrown at a 44 degree angle from the ground…

Q: 3. Find the angle of elevation of the sun from the ground to the top of a tree when a tree that is…

A: As per our guidelines we are supposed to do only first question among multiple questions. To get the…

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 survey team is trying to estimate the height of a mountain above a level plain. From one point on…

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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: Mo is on a baseball team and hears that a ball thrown at a 45 degree angle from the ground will…

A:

Q: An airplane traveling at 600 mph at a cruising altitude of 6.9 mi begins its descent. If the angle…

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Q: You are standing 50m away from the base of a building. You measure the angle of elevation formed…

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Q: You stand 15 feet from the base of a water tower and look un at an angle of 78° at the top of the…

A: Draw the whole situation and mention the angle, hight given than use tangent ratio in the right…

Q: A man wants to determine the height of a light house. He measured the angle from the ground and…

A: Given   tan A=3/4 Distance from base of light house to A is 40m .  We have to find height of light…

Q: Jack and Jill were on the same side of a hill but were 34 m apart. Both were lying on the ground…

A: Let the height of the peak of the hill be h . Let the distance BL be x . Use the tangent ratio in…

Q: What is the altitude of an airplane if the angle of depression to an airport 17 miles away is 8° ?…

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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: (i) the greatest angle of elevation of the top of the lighthouse from a point on the line AC,…

A: Trigonometric functions of an angle are equal to the ratios of the corresponding sides of the…

Q: during the afternoon, an 18 foot tall tree casts a shadow 25 feet long. What is the approximate…

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Q: . A monument is 550 feet high. If you are standing one quarter of a mile, or 1320 feet, from the…

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Q: A woman is standing 15 meters away from a 20-meter tall building. At what angle is she looking to…

A: Given that height of building=20 meter a woman standing 15 meters away  find the angle she is…

Q: Give clockwise and counterclockwise co-terminal angle measurements for 150 degrees.

A: The given angle is 150 degrees; the angle 150 degrees is in second coordinate. Now we have to find…

Q: The shadow of a red-pine tree in northern Minnesota is 131 feet long when the angle of depression…

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Q: The angle of elevation to the top of a building changes from 20° to 40° as an observer advances 75…

A: To find the height of the building

Q: Find the angle of depression if you are standing on top of a hill that is 300 high from sea level,…

A: Angle of depression

Q: A balloon is flying at the end of a 170-m length of string, which is anchored to the ground. The…

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Q: A helicopter is hovering 78 feet above a landing pad. If the man is 81 feet from the landing pad,…

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Q: From the top of a 45-m high building, an observer sees a car heading toward the building at an angle…

A: AB = height of the building = 45 m   The first angle of depression, ∠EAC =∠ACB = 15°   As the car…

Q: Suppose you are headed toward a plateau 47 m high. If the angle of elevation to the top of the…

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.