A beam rests against a wall, forming a 65 degree with the floor. Use the function y=9sec theta to find the length of the beam to the nearest tenth of a foot. A. 8.2 ft B. 21.3 ft C. 9.9 ft D. 18.7 f

This is the concept of trigonometry;

We are required to use the function y=9sec theta to solve the question.

Given the y=9sec theta,

where;

y=distance

theta=angle=65

the length of the beam will be calculated as follows;

From the trigonometric rules;

sec theta=1/cos theta

therefore our function can be written as:

y=9/cos theta

y=9 / (cos 65)

y=9/0.4226

y=21.2958

y=21.3 ft (1 d. p)

therefore our answer is B. 21.3 ft