ANSWER
37°
EXPLANATION
The angle of elevation of the sun is the angle through which one has to raise the head to see the sun.
When a 24 feet tree casts a shadow of 36 feet, we can obtain a right triangle as shown in the diagram to help us calculate the angle of elevation of the sun.
Let x be the angle of elevation of the sun, then
[tex] \tan(x) = \frac{24}{36} [/tex]
[tex]x = \tan ^{ - 1} ( \frac{2}{3} ) = 37.433[/tex]
Hence, the angle of elevation of the sun is 37° to the nearest degree.
