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Q: The bottom of a 50-foot movie screen is 20 feet above eye level. Find the viewing angle θ from a…

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Q: after a severe storm, three sisters stood on their front porch and noticed that the tree in their…

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Q: Jim is looking up at a tree at an angle of elevation of 60°. If Jim is standing 72 feet away from…

A: use the formula by the trigonometric ratio for finding the height of the tree.

Q: Quinn is flying a kite. The angle of elevation formed by the kite string and the ground is 44°, and…

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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: Draw a picture to model the problem. Then solve , rounding lengths to the nearest hundredth and…

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Q: From the top of an 82 meter high vertical cliff, a boat has an angle of depression of 32 degrees.…

A: We will use trigonometric ratio to solve this.

Q: A kite is 50 feet high when 170 feet of string is out. What angle does the kite make with the ground…

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Q: A boat was docked 30.0 m from the base of a cliff. A sailor used a clinometer to sight the top of…

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

A: When the person is looking up the angle formed by line of sight and horizontal line is called the…

Q: The statue of Smokey the Bear is a landmark in Revelstoke. At 8.3 m from the base, the angle of…

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Q: The height of an inaccessible cliff needs to be calculated. From a boat, which is 187 meters out…

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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.