A beam rests against a wall, forming a 50 degree with the floor. Use the function y = 9 sec theta to find the length of the beam to the nearest tenth of a foot.

14.0 ft
11.7 ft
5.8 ft
6.9 ft

The secant of an angle in a right triangle is defined as the length of the hypotenuse divided by the length of the side adjacent to the angle.

A beam rests against a wall, forming a 50-degree with the floor.

The problem gives us the following data:

[tex]\rm y=9 sec\theta[/tex]

Substitute the value of theta in the equation

[tex]\rm y=9 sec\theta\\\\\rm y=9 sec50\\\\y=9\times 1.55\\\\y=13.95[/tex]

Hence, the length of the beam is 13.95 feet.

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A beam rests against a wall, forming a 50 degree with the floor. Use the function y = 9 sec theta to find the length of the beam to the nearest tenth of a foot. 14.0 ft 11.7 ft 5.8 ft 6.9 ft

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What is the secant angle?

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A beam rests against a wall, forming a 50 degree with the floor. Use the function y = 9 sec theta to find the length of the beam to the nearest tenth of a foot.

14.0 ft
11.7 ft
5.8 ft
6.9 ft