A design engineer built a rotating isosceles triangular prism in the middle of a park for people to enjoy. If the rotating prism has the following dimensions as shown in the image below, what is the total surface area of the rotating prism?

In this exercise we have to use the knowledge of rotation and prism to calculate the total area of the prism that has undergone a rotation, so we find that this will correspond to:

Knowing that the dimensions of the rotating prism are:

From the data we will use the formula that of the area, that is:

Replacing the values in the informed formula, we find that:

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0.5 X 3 X 2 = 3

3 X 2 = 6 ft^2

4 X 3 = 12 ft^2

4 X 2.5 = 10 X 2 = 20 ft^2

6 + 12 + 20 = 38ft^2

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2.2°  

step-by-step explanation:

let θ = the angle of elevation.

tanθ =77/2020

tanθ = 0.038 12

      θ = tan⁻¹0.038 12

      θ = 2.2°