Question

A tree 4.7 meters tall casts a shadow 8.2 meters long. Calculate the angle of elevation of the sun to the nearest tenth of a degree.

a. 28.6 degrees
b. 30.2 degrees
c. 32.4 degrees
d. 35.1 degrees

Answer 1

To calculate the angle of elevation of the sun, we can use trigonometry. The angle is approximately 28.6 degrees.

Step-by-step explanation:

To calculate the angle of elevation of the sun, we can use trigonometry. We have a right triangle, where the height of the tree is the opposite side and the length of the shadow is the adjacent side. The tangent function relates the angle of elevation to these sides of the triangle:

Tan(angle) = height of tree / length of shadow

Plugging in the values given, Tan(angle) = 4.7 / 8.2. Using a calculator, we find that the angle is approximately 28.6 degrees.