If the shadow of a pole 7m high is half of it's length, what is the angle of elevation of the sun, correct to the nearest degree.

Answer 1

Let x be the angle of elevation of the sun.

Based on the given information, we can set up the following trigonometric equation:

tan(x) = 7 / (1/2) x

tan(x) = 14

To find the angle x, we can take the arctan of both sides:

x = arctan(14)

x ≈ 86.99 degrees

Therefore, the angle of elevation of the sun is approximately 87 degrees.