The Martin family has spotlights on their house to accent the landscaping features. One of the lights is located 42 feet from the house and lights the entire height of the house, 25 feet. The family wants to adjust the spotlight so it does not shine into their bedroom windows at night. How many degreees shcould the angle of the spotlight be decreased, so that it lights a height of only 22 feet? 25 ft 42 ft O A. 310 о в. 30 о С. 280 D. 170 田

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A: Here we solve trigonometry ratio to find angle.

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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.