5. A 17-foot ladder is leaned against a wall. If the base of the ladder is 8 ft from the wall, how high up
the wall will the ladder reach?

15 feet

Step-by-step explanation:

Always draw out a diagram! Especially once you get to physics, its just best to be in the habit. There are a few ways we could solve this problem, but lets stick to the pythagorean theorem. a^2 + b^2 = c^2 .

so in this case, when we substitute its

a^2 + 8^2 = 17^2

a^2 + 64 = 289

a^2 = 225

a = 15

Therefore, the ladder reaches a height of 15 feet against the building.

to plot points   for x just start at the origin (middle) and go to the left however many times it say(if the number is a positive) if the number is a negative then go right however many times it says if it is 0 go nowhere

now keep you pencil there and go up however many times it says on y(if it is positive) if it is negative then go down however many times it says. if it says 0 go nowhere.

you have just plotted a point! now when you finish plotting all of them connect them with a ruler

plot each point as (-3, 7), (0,4), (3,1), (8,-4)   in the parenthesis on the left of the comma is x and the right is y.