Question

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. At approximately what angle does the wire meet the ground?
A)33.6°
B)39.8°
C)50.2°
D)56.4°

Answer 1

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 :

$sin\theta=\dfrac{P}{H}$

$sin\theta=\dfrac{10}{12}$

$\theta=56.4^{\circ}$

So, the wire meet the ground at an angle of 56.4 degrees. Hence, the correct option is (d).