Final answer:
To find the angle of elevation of the sun, use the tangent function with the tower's height and shadow's length.
Step-by-step explanation:
To find the angle of elevation of the sun, we can use the tangent function. The tangent of an angle is equal to the opposite side divided by the adjacent side. In this case, the opposite side is the height of the tower (127 feet) and the adjacent side is the length of the shadow (140 feet).
So, the tangent of the angle of elevation is 127/140. To find the angle, we can take the arctangent of this value. Using a calculator, we find that the angle of elevation is approximately 38 degrees.