Question

A certain flagpole that is 275 feet tall casts a shadow 136 feet long. Find the angle of elevation of the sun. Round to the nearest degree as needed."

To find the angle of elevation of the sun, you can use trigonometric principles, specifically the tangent function. The angle of elevation will help you determine how high the sun is in the sky.

Answer 1

The angle of elevation of the sun can be found using the tangent function. By dividing the height of the flagpole by the length of the shadow, we can determine the angle. In this case, the angle of elevation is approximately 63.34 degrees.

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 length of the opposite side divided by the length of the adjacent side. In this case, the opposite side is the height of the flagpole, 275 feet, and the adjacent side is the length of the shadow, 136 feet. So, we have tan(angle) = 275/136. We can solve for the angle by taking the arctangent of both sides: angle = arctan(275/136).

Using a calculator, we find that the angle of elevation of the sun is approximately 63.34 degrees.