The Sun hits a 30 foot flagpole at a 60° angle and casts an unobstructed 52 foot shadow. If a building is built 32 feet away, what height will the shadow strike the side of the building? (round to nearest tenth)
We can use similar triangles here
30 / 52 = H / 20 where H is the height that the shadow stries the building
Cross-multiply
20 * 30 = 52 * H
600 = 52 * H divide both sides by 52
600 / 52 = H ≈ 11.5 ft
Here's a pic :
