(D) 33 feet
<u>Explanation:</u>
Given:
Height of the tree, h = 22 feet
angle, θ = 42°
Length of the ladder, l = ?
We know:
sin θ = Perpendicular / hypotenuse
So,
Sin θ = height of the tree / length of the ladder
l = 32.84 feet ≈ 33 feet
Therefore, the length of the ladder be to reach the top of the apple tree is 33 feet.
What is asked in the problem is simply the volume of the solid rubber ball. The volume of sphere given the diameter may be calculated by,
V = πd^3 / 6
Substituting the given value of diameter,
V = (π x 3³) / 6 = 9π/2 or 14.14
Thus, one needs approximately 14.14 in³ of material.
I hope this helps you
2/5x=3/4-1/3
2/5x=9-4/12
2/5x=5/12
x=25/24
