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A tower that is 125 feet tall casts a shadow 173 feet long find the angle of elevation of the sun to the nearest degree

Sagot :

Applying the tangent ratio, the angle of elevation of the sun, to the nearest degree, is: 36°.

What is the Tangent Ratio?

In a right triangle, tan ∅ = opposite length / adjacent length is the tangent ratio.

Given the following:

  • Angle of elevation = ∅
  • Opposite length = 125 ft
  • Adjacent length = 172 ft

Apply the tangent ratio:

tan ∅ = 125/172

tan ∅ = 125/172

∅ = tan^(-1)(125/172)

∅ ≈ 36°

Learn more about the tangent ratio on:

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