Question

If the base of the ladder is 15 feet from the house and reaches 20 feet up the side of the house, what is the length of the ladder? In feet

And

If a ladder is 10 feet long and the base is 6 feet from the side of the house, how far up the side of the house will the ladder reach?

Answer 1

Part 1: 25 feet long

Part 2: 8 feet high

Explanation:

A^2 +B^2 =C^2

C is the hypotenuse which you are finding for part 1.

You are finding B for part 2.

Part 1:

15^2 + 20^2 = C^2

225+400=C^2

625=C^2

Sqrt(625)= C

25=C

Answer for Part 1 is 25 feet long.

Part 2:

6^2 + B^2 = 10^2

36 + B^2 = 100

Subtract 36 from both sides.

B^2 = 64

B= sqrt(64)

B= 8

Answer for Part 2: 8 feet high