A hiker at the top of a 462-ft mountain measures the angle of depression from the top of a mountain to a point on the ground to be 5° what is the distance from the base of the mountain to the point on the ground?

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: 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: 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: A person in a small boat, offshore from a vertical cliff known to be 100 feet in height,takes a…

A: Given: A person in a small boat, offshore from a vertical cliff known to be 100 feet in height,…

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: 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 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: 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: An airplane traveling 400 mph at a cruising altitude of 6.6 mi begins its descent. If the angle of…

A: Given  Speed of airplane = 400 mph Altitude of airplane (at t=0 min) = 6.6mi Angle of descent = 2°

Q: A hunter is laying on the ground near a 15 foot tall tree. He sees his prey on top of the tree at an…

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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: 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 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: An engineer designs a 90-foot cellular telephone tower. Find the angle of elevation to the top of…

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Q: A man who is 70 inches tall casts a shadow of 105 inches. Assuming that the man is standing…

A: Proceed as shown below

Q: the toronto stock exchange is housed in the exchange tower. From the top of the building, the angle…

A: Given: θ=55.6° According to given data figure will be as follows: Where; h is height of building…

Q: A loading ramp is 21 meters long with a height of 6 meters. What is the angle of incline that the…

A: Explanation of the answer is as follows

Q: From the top of a building that overlooks an ocean, an observer watches a boat sailing directly…

A: Firstly try to make the diagram of the given information and then observe. Use tangent of angle to…

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: 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: A kite flies to a height of 35 feet when 74 feet of string is out. If the string is in a straight…

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Q: Find the angle 0 between 0 radians and 2T radians that is coterminal with the angle (a) - radians.…

A: Due to our guidelines we can only answer one question at a time, therefore I will be answering first…

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 person standing 188 ft from the base of a church observed the angle of elevation to the church's…

A: Given:  The person standing 133 ft from the base of church observed the angle of elevation to the…

Q: Juliet is standing atop a 15--foot balcony when she spots Romeo at an angle of depression of 5°. How…

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Q: The angle between 0 and 2T in radians that is coterminal 26 ·T in radians is 9. with the angle |

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Q: The pilot of a small airplane flying 600 m above the ground notices a village 800 horizontal meters…

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Q: The angle of elevation from a boat to the top of a 92-meter hill is 12. How far is the boat from the…

A: The angle of elevation from a boat.

Q: A man is standing on the ground, looking at the top of an 80-ft building. The angle of elevation is…

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Q: From an airplane at an altitude of 1,289 m, the angle of depression to a rock on the ground measures…

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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 between 0 and 2T in radians that is coterminal 55 T in radians is 8 with the angle

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

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Q: Jazmin is flying a kite, but it got caught at the top of a 24 ft tree. If she let out 100 ft of…

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Q: A person in a small boat, offshore from a vertical cliff known to be 100 feet in height, takes a…

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Q: The pilot of a small airplane flying 300 m above the ground notices a village off the left wing at a…

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Q: A surveyor set up his instrument at A and measured the angle of elevation of the top of a tower and…

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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: An airship is flying at an altitude of 800 m when it spots a village in the distance with a…

A: Consider the diagram given below, Point A is the location of the plane at that instant, point C is…

Q: Find x, the angle of depression from the top of a lighthouse that is 189 ft above water level to the…

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Q: The angle of elevation of the top of a flagpole from a point on the ground 30 m from the base of the…

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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: 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: . 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: The angle of elevation to the top of Wayne Tower in Gotham City is found to be 14° from the ground…

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Q: What is the angle of elevation to the nearest tenth of a degree to the top of a 35-ft building from…

A: Let the angle of elevation to the building be θ. The height of the building = 35 ft.

Q: A man climbs 213 meters up the side of a pyramid and finds thatthe angle of depression to his…

A: A man climbs 213 meters up the side of a pyramid and finds that the angle of depression to his…

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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