Let's call the distance from the bench to the base of the pole "x". We can then use trigonometry to find the distance from the bench to the top of the pole.
First, we can find the height of the pole by using the tangent function:
tan(55°) = height / x
height = x * tan(55°)
Next, we can add the height of the pole to the distance from the bench to the base of the pole to find the total distance from the bench to the top of the pole:
distance from bench to top of pole = height + 20 ft
distance from bench to top of pole = x * tan(55°) + 20 ft
So, the distance from the bench to the top of the 20-ft pole is x * tan(55°) + 20 ft.
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Step-by-step explanation:
Let's call the distance from the bench to the base of the pole "x". We can then use trigonometry to find the distance from the bench to the top of the pole.
First, we can find the height of the pole by using the tangent function:
tan(55°) = height / x
height = x * tan(55°)
Next, we can add the height of the pole to the distance from the bench to the base of the pole to find the total distance from the bench to the top of the pole:
distance from bench to top of pole = height + 20 ft
distance from bench to top of pole = x * tan(55°) + 20 ft
So, the distance from the bench to the top of the 20-ft pole is x * tan(55°) + 20 ft.