A communications tower is located at the top of a steep hill, as shown. The angle of inclination of the hill is 76°. A guy wire is to be attached to the top of the tower and to the ground, 121 m downhill from the base of the tower. The angle formed by the guy wire is 11°. Find the length of the cable required for the guy wire. 11° 121 m 76° NOTE: The picture is NOT drawn to scale. length of guy-wire = 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.