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  • 01-12-2020
  • Mathematics
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A tree casts a shadow that is 125 feet in length. The angle of elevation with the sun is 32°. What is the height of the tree?

A tree casts a shadow that is 125 feet in length The angle of elevation with the sun is 32 What is the height of the tree class=

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eudora eudora
  • 08-12-2020

Answer:

Height of the tree is 78.11 feet.

Step-by-step explanation:

By applying the tangent rule in the right triangle formed,

Since, tanθ = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

tan(32)° = [tex]\frac{h}{125}[/tex]

h = 125(tan32°)

h = 125(0.62487)

h = 78.109

  ≈ 78.11 ft

Height of the tree will be 78.11 feet.

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