Apole, 4m high, as shown in figure 2, stands, vertically, on
level ground. if the sun is at an angle of 30° to the horizontal,
how long is the shadow.

use the tangent ratio to solve the problem.

6.92 m

Step-by-step explanation:

Assuming the image is the attached below, we have a right triangle, where one of the legs is the 4 m high pole and the other leg the shadow.

Now, the tangent function is defined as:

Since the Sun is at an angle and the adjacent leg is the shadow we have:

Isolating :

This is the length of the shadow

b.an increase in a causes b to decrease