A hot air balloon rising upwards is noticed by an observer who is 4 miles from where it is released. At this exact moment, the angle between the observer's line of sight and the horizontal is pi/3 radians. The angle of elevation is changing at 0.3 radians per minute. How fast is the hot air balloon rising right now?

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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.