A ranger at the top of a fire tower observes the angle of depression to a fire on level ground to be  12.0°. If the tower is 260 ft tall, what is the ground distance from the base of the tower to the fire?

Q: After a hurricane, a homeowner examines a tree on his property for damage. He thinks a 20-ft palm…

A: A homeowner examines trees on his property for damage. A 20 foot palm tree is leaning slightly from…

Q: From a window 30 feet above the level ground, a building 100 feet high, and at a distance of 200…

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Q: A dog looks up at a cat who has climbed a 29 foot tree. If the dog is 59 feet from the base of the…

A: The relation between the angles of a triangle and the sides of the triangle is given by the…

Q: A radio tower is located 275 ft from a building. from a window in the building, a person determines…

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Q: At a point 200 feet from the base of a building, the angle of elevation to the bottom of a…

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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: The angle of depression from an airplane to the top of an air traffic control tower is 56°. If the…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: A pilot is at an altitude of 3,000 ft, and is 7,060 ft in horizontal distance from the end of the…

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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…

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

Q: A surveyor wishing to find the height of a lighthouse measures the angle A at a point 120 ft. from…

A: Let the height of the light of the lighthouse is h. See the picture below

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

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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: 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: A campsite is 8.51 miles from a point directly below the mountain top. If the angle of elevation is…

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Q: A building 230 feet tall casts a 40-foot-long shadow. If a person stands at the end of the shadow…

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Q: A person standing 364 feet from the base of a church observed the angle of elevation to the church's…

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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: From the top of a cliff 280 meters high, the angle of depression of a boat is 25°. How far from the…

A: We  Have to determine from the base of the cliff is the boat?

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: 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: 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: After a hurricane, a homeowner examines trees on his property for damage. He thinks a 21-ft palm…

A: Given, the tree is considered to be slightly inclined vertically. So, the height of the tree will…

Q: A building 150 feet tall casts a 30 foot long shadow. If a person looks down from the top of the…

A: Given,

Q: The angle of elevation from a viewer to the center of a fireworks display is 55°. If the viewer is…

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Q: A radio tower is located 425 feet from a building. From a window in the building, a person…

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

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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: A park ranger, on top of a 200-- foot tower, spots a wolf at an angle of depression of 14°. How far…

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

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Q: From an airplane at an altitude (height) of 1200 m, the angle of depression to a rock on the ground…

A: Given,            From an airplane at an altitude (height) of 1200 m, the angle of depression to a…

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: 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 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: An observer at the top of a skyscraper sights a tour bus at an angle of depression of 61 degrees.…

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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: 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: A ship is just off the shore of New York City. A sighting is taken on the Statue of Liberty, which…

A: Given  Height = 305 feet  Base = 950 feet  We need to find the angle of elevation

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 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: 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: 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: From the top of a 200-ft lighthouse, the angle of depression to a ship in the ocean is 23degree. How…

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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: a person is standing on the roof of a building and is 34 feet away from the base of the building.…

A: The angles and the sides of a right triangle are related by using trigonometric functions.…

Q: A person 100 meters from the base of a tree, observes that the angle between the ground and the top…

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