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

A:

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

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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…

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

A:

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.

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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: 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.