Answer:
A
Step-by-step explanation:
Givens
- The board has been placed 1/2 the length of the 10 foot ladder across to 1/2 the length of the 15 foot ladder.
- That means that the rung holding the board on the 10 foot ladder is 1/2 up the length of the 10 foot ladder.
- That makes the hypotenuse of the small triangle = 5
- The distance from where the ladders meet to the paint = x
Find x
x^2 + 3^2 = 5^2
x^2 + 9 = 25 Subtract 9 from both sides
x^2 = 25 - 9 Combine
x^2 = 16 Take the sqrt of both sides
x = 4
Find the height
The ratio of all dimensions involving the 2 ladders and the board is 1 to 2.
So the total height from where the ladders meet to the ground is 2*4 = 8
Answer: The distance from the bucket to the ground is 1/2 * 8 = 4
Answer: A
