# Geometry: trigonometry

2. The angle of elevation of a 15-ft ladder is 70Â°. Find out how far the base of the ladder is from the wall.

3. A diagonal is drawn in a 12-in, square floor tile. Find the sine, cosine, and tangent of the angle formed by the diagonal and a side.

9. A gutter cleaner wants to reach a gutter 40 ft above the ground. Find the length of the shortest ladder that can be used if the steepest angle at which it can be leaned against the house has measure 75Â°.

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#### Solution Summary

The expert examines finding sides by using proportions of similar triangle's sides and trigonometry formulas.

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