A tree 40 feet high casts a shadow 58 feet long. Find the measure of the angle of elevation of the sun.

To find the measure of the angle of elevation of the sun, we can use the concept of trigonometry. 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 tree and the adjacent side is the length of the shadow. Therefore, we can calculate the tangent of the angle of elevation using the given values and then find the angle using the inverse tangent function.
Tan(angle of elevation) = height of tree / length of shadow
Tan(angle of elevation) = 40 feet / 58 feet
Angle of elevation = arctan(40/58)
Using a scientific calculator, we can find that the angle of elevation of the sun is approximately 35.27 degrees.

Answered by Qwpanda | 2024-06-24

The angle of elevation of the sun can be found using the tangent function by dividing the height of the tree by the length of the shadow. With a height of 40 feet and a shadow of 58 feet, the angle of elevation is approximately 35 degrees. This shows how high the sun is in the sky at that moment.
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Answered by Qwpanda | 2024-12-23