We know that m<HVT = m<JVS because the mirror projects equal angles. We can claim this about the angle theta.
tan(θ) = 5.8/4
θ =
degrees approx.
So, we want sin theta in the other triangle. Luckily, we also know that...
cos(55.4°) x hypotenuse = 36
hypotenuse = 63.4 ft approx.
So we can find the height by evaluating...
sin(55.4°) x 63.4 = 52.2 ft
answer: 52.2 ft