From the top of an 8m house the angle of elevation to the top of the schools flagpole across the street is 9 degrees

The angle of depression is 42degrees to the bottom of the pole
How tall is the flagpole

1 answer

as always, draw a diagram.

The distance d between the house and pole is

d = 8cot42°

Now you can see that the height of the pole is

8 + d tan9°