A hot air balloon is rising upward from the earth at a constant rate, as shown in the accompanying figure. An observer 247 meters away spots the balloon at an angle of elevation of 23°. Three minutes later the angle of elevation of the balloon is 57°. At what rate is the balloon ascending? $70 23° The balloon is ascending at the rate of m/sec. (Round the final answer to the nearest tenth as needed. Round all intermediate values to the nearest tenth as needed.) 247 m

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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.