To find the length of the beam, we need to use the trigonometric relationship between the angle of elevation and the length of the beam. In this case, the angle of elevation is 65 degrees and we are given the function y=9secθ, where y represents the length of the beam and θ is the angle of elevation.
The secant function is defined as secθ = 1/cosθ. Given that secθ = y/9, we can write y = 9secθ = 9/cosθ.
Since the angle of elevation is 65 degrees, we need to find the cosine of 65 degrees using a calculator.
cos(65 degrees) ≈ 0.4226
Now, we can plug this value into the equation y = 9secθ = 9/0.4226 ≈ 21.28 feet
Therefore, the length of the beam is approximately 21.28 feet.
A beam rests against a wall, forming a 65degree angle with the floor. Use the function y=9secθ to find the length of the beam in feet.
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