Question

The base of a ten food ladder is 6 feet from a building. The top of the leaning ladder reaches and makes contract with the building's roof. On the corner of the building, a 4 foot flag pole is erected on the roof. A spot light with a fixed angle of elevation of 57 degrees is to be permanently secured to the ground and aimed to shine on the top of the flagpole. Determine how many feet from the corner of the building to place the spotlight.

Answer 1

Have you made a diagram? If so,please post it!

Answer 2

Hints:
Use Pythagoras Theorem to find h.
Then the top of the flag pole is h+4 m above ground.
Use the definition of tangent to form the equation:
tan(57) = (h+4) / x
solve for x.