Peter needs a ladder to get to his roof for a repair. In order for the ladder to be the most stable, it must be positioned at a 30 degree angle. If his roof is 20 feet off the ground, how long must his ladder be? (Round to the nearest tenth, if necessary.) sin 30= 20/x x-20/sin30 = x = 20 1/2 = x = 20(2)/1 = x=40

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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.