A lighthouse at sea level is 34 miles from a boat. It is known that the top of the lighthouse is 42.5 miles from the boat and that x =r cos 0, where x is the horizontal distance, r is the distance of the top of the lighthouse from the boat, and 0 is the angle of depression from the top of the lighthouse. Find 0.

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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.