What is the angle of elevation of the sun if a 45 foot tall flag pole casts a 22 foot long shadow?

=63.9°

Step-by-step explanation:

To find the angle of elevation using the shadow of an object, we use the trigonometric ratio Tangent.

Tan∅=opposite/adjacent

Opposite is the height of pole while adjacent is the shadow of the pole.

The tan of the angle of elevation = height of the pole/length of shadow

Tan ∅=45/22

∅ = Tan⁻¹ (45/22)

=63.9°

Angle of elevation=63.9°