Question

A beam rests against a wall, forming a 55-degree angle with the floor. Use the function y=9sec 0 to find the length of the beam to the nearest tenth of a foot.

A - 48 degrees
B - -48 degrees
C - 50 degrees
D - -50 degrees

Answer 1

Answer:

C. 15.7 feet

Step-by-step explanation:

9/cos(55 deg)=

15.691.

round it up, and the length of the beam is 15.7 feet.

Answer 2

The length of the beam is 15.7 foot.

What is trigonometry?

Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.

For the given situation,

A beam rests against a wall, forming a angle with the floor = 55 degree

The function is y = 9 secθ

The length of the beam is

⇒ $y = 9 sec\theta$

⇒ $y = 9 sec55$

we know that secθ = 1/cosθ

⇒ $y = 9 (\frac{1}{cos55})$    

⇒ $y=15.69$

⇒ $y=15.7$

Hence we can conclude that the length of the beam is 15.7 foot.

Learn more about trigonometry here

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