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melisa141b
01.12.2020 •
Mathematics
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?
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Ответ:
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}}](/tpl/images/0939/3605/10612.png)
tan(32)° =![\frac{h}{125}](/tpl/images/0939/3605/5d3e0.png)
h = 125(tan32°)
h = 125(0.62487)
h = 78.109
≈ 78.11 ft
Height of the tree will be 78.11 feet.
Ответ: