How do I do this problem?

14.9m

Step-by-step explanation:

Say that the centre point is O, the letter to make it easier to explain.

The angle DOB is equal to the angle AOE because they're vertically opposite

We also know that angle DOB = 52 + 90 = 142, so angle AOE = 142

To work out the length of the segment, it would be to find the circumference and multiply with the angle over 360:

πd ×

(where d = diameter)

we know that the diameter is 12m so we can input this:

12π × = 14.87020523

to the nearest tenth = 14.9m

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,