A man whose eye level is 6 ft above the ground walks toward a billboard at a rate of 2 ft>s. The bottom of the billboard is 10 ft above the ground, and it is 15 ft high. The man’s viewing angle is the angle formed by the lines between the man’s eyes and the top and bottom of the billboard. At what rate is the viewing angle changing when the man is 30 ft from the billboard?
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.
A man whose eye level is 6 ft above the ground walks toward a billboard at a rate of 2 ft>s. The bottom of the billboard is 10 ft above the ground, and it is 15 ft high. The man’s viewing angle is the angle formed by the lines between the man’s eyes and the top and bottom of the billboard. At what rate is the viewing angle changing when the man is 30 ft from the billboard?
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