Question

Please help me figure this out!

Answer 1

tan(angle)= Height/base

tan(59) =  height / 63

Height = 63 x tan(59)

Height = 105 feet

Answer 2

We have a right triangle and an indicated angle of 59°.  Opposite that angle is the height of the building, which we seek.  Adjacent to that angle is the distance to the building, which we know is 63 feet.

We have a problem with opposite and adjacent so we use the tangent function.

tan 59° = h / 63

h = 63 tan 59° ≈ 104.8496074

Answer: 105 feet