Answer:
your question is stated and the answer to your question is ⇒56.4°
Q: At approximately what angle does the wire meet the ground? 33. 6° 39. 8° 50. 2° 56. 4°.
Step-by-step explanation:
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At an angle of 56.4 degrees does the wire meet the ground.
To support a tree damaged in a storm, a 12-foot wire is secured from the ground to the tree at a point 10 feet off the ground.
The tree meets the ground at a right angle.
A right-angled triangle is a triangle having an angle between the base and the perpendicular is 90°.
To calculate the angle α between the wire and the ground we need to find the sine of that angle or sin(α).
The formula of the sin angle is;
[tex]\rm Sin\alpha = \dfrac{Perpendicular}{Hypotenuse}\\\\Sin \alpha =\dfrac{a}{c}[/tex]
Where a = 10 and c = 12.
Then,
[tex]\rm Sin\alpha = \dfrac{Perpendicular}{Hypotenuse}\\\\Sin \alpha =\dfrac{a}{c}\\\\Sin\alpha = \dfrac{10}{12}\\\\Sin\alpha =0.8334\\\\\alpha = sin{-1} (0.8334)\\\\\alpha = 56.4 \ degrees[/tex]
Hence, at an angle of 56.4 degrees does the wire meet the ground.
To know more about Right angles click the link given below.
https://brainly.com/question/3770177
