A plane is 3 miles above the ground, 15 miles from its destination. What is the angle of elevation of the plane from its destination?

Q: A mother gazes out a second-floor window at her son playing at the playground. If the mother's eye…

A: The arrangement of mother's eye level, ground level and playground forms a right angles triangle.…

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

A:

Q: An air traffic controller on top of a 300-foot airport tower looks up and sees a balloon. The angle…

A: An air traffic controller on top of a 300-foot airport tower looks up and sees a ballon.The angle of…

Q: A 20-foot ladder is leaning against a wall. The base of the ladder is 3 feet from the wall. What…

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Q: A man is standing in front of a wall and looking at its topmost point. If the angle of elevation is…

A: Draw a diagram depicting the scenario. Use the tangent ratio to determine the distance .

Q: A blimp, suspended in the air at a height of 400 feet, lies directly over a line from a sports…

A:

Q: A kite string is 50 ft. long and flying 27 ft. above the ground. If the string is held 3 ft above…

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Q: The Statue of Liberty is about 151 feet tall. If the angle of elevation from a tree in Liberty State…

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Q: A ladder 36 feet longs rests against a wall, its foot being a at a horizontal distance of 25 feet…

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Q: A ranger in a 95 ft tower looks down at an angle of depression of 49 and spots a camper in trouble.…

A:

Q: A building at the foot of a hill is 15.6 m high. Find the height of the hill if the angle of…

A:

Q: Find the angle of depression of a plane after reaching a height of 203m if its horizontal distance…

A: We have to find the angle of depression of a plane after reaching a height of 203m if its horizontal…

Q: A boy stands 12 metres from the foot of the building and observes the angle of elevation of the top…

A: Answer (59): Consider, the distance from the head of the boy to the top of the building is x m.…

Q: Situated between Portage Road and the Niagara Parkway directly across from the Canadian Horseshoe…

A: The length of the track is 51.8 meters and the angle formed is 36°2'.

Q: A cable man is looking down from the top of a telephone pole at an angle of 14°. The pole is 30 feet…

A: where , x= horizontal distance from the bottom of the pole

Q: The Statue of Liberty is approximately 305 feet tall. If the angle of elevation of a ship to the top…

A: We have to find

Q: A 12 feet ladder leans against the wall of a building and touches the bottom of a window that is 10…

A: We have to determine the angle of ledder with the ground

Q: A fireman leaned a 36 foot ladder against a building. If he placed the ladder 7 feet from the base…

A:

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: A passenger on a plane saw an island below him. If the altitude of the plane 2500 meters above the…

A: A passenger on a plane saw an island below him.The altitude of the plane 2500 meters above the…

Q: An 8 foot ladder is used to scale a 6 foot wall. At what angle of elevation must the ladder be…

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Q: Lucky sees a bird sitting on the top of an avocado tree that is 17.56 meters tall. If he is standing…

A:

Q: 3. A 14-foot ladder is being used to get to the top of a 12-foot-tall wall. At what angle of…

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Q: What is the angle of elevation created with the ground when a flagpole with a height of 20 feet…

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Q: A35-foot tall pole is leading towards a building.To stop the pole from leaning further, a 48-foot…

A: A pole of height 35 feet  and a supported cable of length 48 feet which is at a distance of 30 feet…

Q: A 14-foot ladder is being used to get to the top of a 12-foot-tall wall. At what angle of elevation…

A:

Q: Makayla is standing 52 km away from Momotombo Volcano and the volcano is 2.4 km high. Assuming…

A:

Q: The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A…

A: As shown in the figure,A and B are the stations, and D is the satellite.Distance between two…

Q: A kite is flying at an angle of elevation of 43 degrees. Find the height of the kite if 37 ft of the…

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Q: A kite string is 40 ft. long and flying 27 ft. above the ground. If the string is held 3 ft. above…

A:

Q: From the top of a 72 m high vertical cliff, a boat is 115 m away from the cliff. What must be the…

A: Given:- From the top of a 72 m high vertical cliff, a boat is 115 m away from the cliff. To find:-…

Q: A fireman leaned a 36-foot ladder against a building.  If he placed the ladder 7 feet from the base…

A: To find the angle between ladder and ground

Q: A loading ramp is 18 meters long with a height of 7 meters. What iš the angle

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Q: 2. From the top of a 100 foot building a man observes a car moving toward the building. If the angle…

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Q: Two radar stations 8 miles apart are tracking an airplane. The straight-line distance between…

A:

Q: A ranger in a 112 ft tower looks down at an angle of depression of 42 and spots a camper in trouble.…

A: We have to find out

Q: 10. Burj Khalifa in Dubai is the tallest building in the world, standing at 828 meters. An adjacent…

A: The solution for the above question is as shown below.

Q: From the top of the control tower 250 m tall, an airplane is sighted on the ground below. If the…

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

A:

Q: The boat is 3 mi from both light houses and the angle between the line of sight to the lighthouses…

A:

Q: O A woman 1.65 m tall stood 50 m away from the foot of a tower and observed that the angle of…

A: Solution: The objective is to find the height of the tower

Q: A hot-air balloon is held at a constant altitude by two ropes that are anchored to the ground. One…

A: find the distance in the following way:-

Q: 2) An airplane flying at an altitude of 563m is 2 km from the airstrip. What is the angle of…

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Q: 2. As Artemis Fowl's private jet approaches Heathrow airport, its horizontal distance from the…

A: as Artemis fowls private jet approaches airport the horizontal distance of the airport is 22 miles…

Q: How is the degree measure of an angle defined?

A: We can measure the angle by the amount of rotation from the beginning side to the other side. The…

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: How far from the door must a ramp begin in order to rise three feet with an 8° angle of elevation?

A: Note To Student : Thanks for posting your queries. But problem 6 can not be solved without some…

Q: Two airplanes leave an airport., and the angle between their flight paths is 40 degrees. An hour…

A: Given query is to find the distance between the airplane after 1 hour.

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.