Answer:
The wire meet the ground at an angle of 56.4 degrees
Explanation:
It is given that,
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 hypotenuse is, H = 12 foot
The perpendicular distance is, P = 10 feet
The angle between the tree and the ground is 90 degrees
Using Pythagoras theorem as :
[tex]sin\theta=\dfrac{P}{H}[/tex]
[tex]sin\theta=\dfrac{10}{12}[/tex]
[tex]\theta=56.4^{\circ}[/tex]
So, the wire meet the ground at an angle of 56.4 degrees. Hence, the correct option is (d).