Find the angle of elevation of the sun if a building 78 meters high, cast a shadow of 45 meters.*29.98°60.18°

To find the angle of elevation of the sun, we can use the tangent of the angle which is equal to the opposite side divided by the adjacent side in a right triangle. In this case, the height of the building is the opposite side and the length of the shadow is the adjacent side.

Here are the steps to find the angle:

1. First, we need to find the tangent of the angle. The tangent of the angle (θ) is equal to the height of the building (opposite side) divided by the length of the shadow (adjacent side). So, tan(θ) = 78/45.

2. To find the angle θ, we need to find the inverse tangent (or arctan) of the value we got. So, θ = arctan(78/45).

3. Use a calculator to find the arctan(78/45). Make sure your calculator is in degree mode. The result is approximately 60.18°.

So, the angle of elevation of the sun is approximately 60.18°.