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TTownsel2390
12.10.2019 •
Mathematics
Achild lies on the ground and looks up at the top of a 9-ft tree nearby. the child is 13 ft away from the tree. what is the angle of elevation from the child to the top of the tree? round to the nearest whole degree.
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Ответ:
Angle of elevation is 35°
Step-by-step explanation:
A child lies on the ground and looks up at the top of the tree which is 9 ft of height.
Child is 13 feet away so we have to calculate the angle of elevation from child to the top of the tree.
Let the angle of elevation is ∅ then
tan ∅ =![\frac{9}{13}](/tpl/images/0313/6562/6aa23.png)
∅ =![tan^{-1}(\frac{9}{13})](/tpl/images/0313/6562/d7054.png)
∅ =![tan^{-1}(0.6923)](/tpl/images/0313/6562/ab9f3.png)
∅ = 34.69° ≅ 35°
Therefore the angle of elevation is 35°
Ответ:
x = 14
Step-by-step explanation: