Abeam 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

B. 21.3 ft.

Step-by-step explanation:

We have been given that a beam rests against a wall, forming a 65 degree with the floor. We are asked to find the length of the beam using function

Upon substituting the value of theta 65 degrees in our given equation we will get,

Therefore, the length of the beam is 21.3 ft and option B is the correct choice.

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

0 < x ≤ 200 and 0 < y ≤ 400

Step-by-step explanation:

hope this helps