Answer:
∅ = 67.71°
Explanation:
The flag pole is 20 ft tall is casting a shadow that is 8.2 ft long .At what angle is the sun hitting the ground. The illustration forms a right angle triangle.
The right angle triangle has an hypotenuse, opposite and adjacent sides. The flag height forms the opposite side. The shadow forms the adjacent side . The angle the sun is hitting the ground can be using SOHCAHTOA principle.
using Tan
tan ∅ = opposite / adjacent
tan ∅ = 20/8.2
tan ∅ = 2.4390243902
∅ = tan⁻¹ 2.4390243902
∅ = 67.7063708403
∅ = 67.71°