If a 75 ft flagpole casts a shadow that is 43 long, what is the angle of elevation of the sun from the tip of the shadow?

The angle of elevation of the sun from the tip of the shadow is approximately 60.2 degrees.

The situation forms a right angle triangle.

The height of the flag is the opposite side of the right angle triangle.

The length of the shadow is the adjacent side if the right angle triangle.

Therefore, using trigonometric ratio let's find angle of elevation

let

∅ = angle of elevation

tan ∅ = opposite / adjacent

tan ∅ = 75 / 43

∅ = tan⁻¹ 1.74418604651

∅ = 60.1729153455

∅ = 60.2°

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