Meryl is standing 100.5 feet from the Eiffel Tower and sees a bird land on the top of the tower. If the angle of elevation from Meryl to the top of the Eiffel Tower is close to 84.6°, how tall is the tower, to the nearest
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.
Assignment 7: Sine, Cosine, and Tangent- Word Problems
1. Meryl is standing 100.5 feet from the Eiffel Tower and sees a bird land on the top of the
tower. If the angle of elevation from Meryl to the top of the Eiffel Tower is close to 84.6°, how
tall is the tower, to the nearest foot?
2. The length of a tree’s shadow is 20 feet when the angle of elevation to the Sun is 40°. How
tall is the tree, to the nearest hundredths?
3. Katie is flying a kite on a windy day. When the kite is 15 m above the ground, the string of
the kite makes an angle of 50°with the horizontal. If Katie is holding the string 1 m above the
ground, how much string has she released? Round your answer to the nearest tenth.
4. From a distance of 300 m, Susan looks up at the top of a lighthouse. The angle of elevation is
5°. Determine the height of the lighthouse to the nearest meter.
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