A pilot is flying over a flat (horizontal) land. She determines the angle of depression to a landmark in front of the plane to be 32° and the angle of depression to a landmark behind the plane to be 58°. If the land marks are 5.7 km apart, how far is she from the landmark in front of the plane?

Q: connected from a window on one building to a u s-line is 10 yards long with an angle of depressi

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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: From the top of a cliff 150 feet high, the angle of depression of ship A is 20° and that of ship B…

A:

Q: Q. 24. A.man standing on the deck of a ship, which is 10 m above the water level, observes the angle…

A: let the height of the bill AB is h  m and  C be the position of the ship such that DB = 10 m

Q: Two ships leave a port at the same time, the first on a bearing of 65º, the second on a bearing of…

A: Let A be the starting point of two ships. Let B be the position of the ship travelled 20 nautical…

Q: A surveyor wishes to determine the width of a pond. From a point A at one end of the pond, he marks…

A: According to the given problem BC is the width of the pond .

Q: A camera has been set up to record a diver at a diving competition. What is important for those…

A: Given figure is

Q: 4. Two light spotted the same mark on the tower, the mark was 35 ft. from the ground. The forst…

A: Given problem:- Two light spotted the same mark on the tower, the mark was 35 ft. from the ground.…

Q: A surveyor in an airplane travelling east sees a lake in front of her. The angle of depression to…

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Q: 2. A hot air balloon is kept at a constant altitude by two ropes anchored at two points on the…

A: Given:  A hot air balloon is kept at a constant altitude by two ropes anchored at two points on the…

Q: Two rockets are fired from the same position at an angle of 90° from each other. If they both travel…

A: Given query is to find the distance between the rockets.

Q: Two trains leave a station at the same time on straight sections of track which form   an angle of…

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Q: An ant looks up at a UFO at an angle of elevation of 23 degrees. The ant noticed that the shadow of…

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Q: If a wagon wheel had 10 more spokes, the angle between spokes would decrease by 3°. How many spokes…

A: Given data is : A wagon wheel has 10 more spokes, the angle between spoke is decrease by 3∘ To find…

Q: A plane is 130 kilometers north and 95 kilometers east of an airport. If the pilot wants to fly…

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Q: 6) The angle of depression from the paraglider to the boat (as shown in the diagram) is 36°. When…

A: Using trigonometric ratios

Q: A light aircraft was traveling 108 miles per hour straight and level when the pilot measured a…

A: The objective of this question is to find the height at which the aircraft is flying. We can use the…

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.