Can someone help me with 2.5

1 answer:

6 0

Answer:

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

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