(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.
Answer:
The solution is x = 0, y = -2.
Step-by-step explanation:
5x - 3y = 6
6x - 5y = 10
If we multiply the first equation by 5 and the second by - 3 we get:
25x - 15y = 30
-18x + 15y = -30 Adding these 2 equations eliminates y, we get:
7x + 0 = 0
x = 0.
Substituting x = 0 in the first equation:
5(0) - 3y = 6
y = 6/-3 = -2.
The answer is (C) 125. Hope this helps!
Answer:
John has 12 pairs of pants and 28 pairs of shorts.
Step-by-step explanation:
Given that the ratio of pants to shorts that John has is 3: 7, if John has 12 pairs of pants, to determine then how many pants and shorts does he have the following calculation must be performed:
(12/3) x 7 = X
4 x 7 = X
28 = X
Therefore, John has 12 pairs of pants and 28 pairs of shorts.