A12 - ft ladder leans against the side of a house. the bottom of the ladder is 8 ft from the side of the house. how high is the top of the ladder from the ground?

The Pythagorean theorem tells you

... (height of ladder)² + (distance from house)² = (length of ladder)²

... (height of ladder)² + (8 ft)² = (12 ft)²

... height of ladder = √(12² - 8²) ft

... height of ladder = √80 ft ≈ 8.94 ft

i think the amount would be $140.62

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.