When the angle of elevation of the sun is 61 degrees, the building casts a horizontal shadow of 50 meters. How high is the building?

Question

When the angle of elevation of the sun is 61 degrees, the building casts a horizontal shadow of 50 meters. How high is the building?

Answer 1

If the elevation of the sun is 61 degrees, that is the angle at the end of the shadow. That implies the the building height is the opposite side of the angle and the shadow length is the adjacent side. That means the

building height/shadow length = opp/adj = tanθ. You can now solve for the height.