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Marrrta [24]
2 years ago
5

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?

Mathematics
1 answer:
Molodets [167]2 years ago
4 0

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 = \frac{\text{Opposite side}}{\text{Adjacent side}}

tan(32)° = \frac{h}{125}

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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