Question

(HELP!! 10 POINTS!!) A board with a length of 15 feet is leaning against a vertical wall. The angle that the board forms with the ground is 53.13°

Use a trigonometric function to determine the distance from the bottom of the board to the edge of the wall. In at least four sentences, explain why you chose your specific function and how it applies to the reference angle A. Be sure to include the key vocabulary words "cosine", "ratio", "adjacent side", "hypotenuse" and "angle measure" in your response. Describe each computational step in complete sentences.

Answer 1

this is in fact a 53.13-degree angle from a protractor

Explanation:

Answer 2

9 ft

Explanation:

-Let x be the length of the base dimension.

-We apply the cosine ratio:

`Cos\ \theta=(Adjacent)/(Hypotenuse)`

-We substitute the given values to solve for x as follows:

`Cos \ \ \theta=(Adjacent)/(Hypotenuse)\\\\Cos \ \ 53.13\textdegree=(x)/(15)\\\\x=15* Cos \ \ 53.13\textdegree\\\\=9.0000\ ft`

Hence, the base length is 9.00 ft