Questions: A power line is oscillating in the wind in a wave that represents the sinusoidal function, h(x) = -5 sin (0.15 x)+35 in which h is height in feet. How high are the poles holding the powerline off the ground?

A power line is oscillating in the wind in a wave that represents the sinusoidal function, h(x) = -5 sin (0.15 x)+35 in which h is height in feet. How high are the poles holding the powerline off the ground?

Transcript text: A power line is oscillating in the wind in a wave that represents the sinusoidal function, $h(x)=$ $-5 \sin (0.15 x)+35$ in which $h$ is height in feet. How high are the poles holding the powerline off the ground?

Solution

Solution Steps

Step 1: Identify the vertical shift

The given function is $h(x) = -5\sin(0.15x) + 35$. The vertical shift is represented by the constant term added to the sinusoidal function. In this case, the vertical shift is 35.

Step 2: Interpret the vertical shift

The vertical shift represents the midline of the oscillation. Since the power line oscillates around this midline, the height of the poles holding the power line corresponds to the vertical shift.

Final Answer

35 feet

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