In a national park, the distance between the base of two cliffs is 312 feet.  The angle of elevation from the bae of the shorter cliff to the top of the taller cliff is 35 degrees.  The angle of elevation from the base of the taller cliff to the top of the shorter cliff is 27 degrees.   The tops of the two cliffs are joined by a bridge of length x, as modeled below.   Using trig ratios, the height of the shorter cliff is  The height of the taller cliff is The difference between the heights of the two cliffs is  The length of the bridge is

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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.