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°
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