Aladder is resting against a wall. the top of the ladder touches the wall at a height of 18 ft. find the length of the ladder if the length is 3 ft more than its distance from the wall.

55.5 ft.

Step-by-step explanation:

You can start by drawing a diagram to help you understanding where everything is placed. A right triangle, where the ladder is the hypotenuse, the wall on the vertical leg, while the floor is on the horizontal leg. As stated the wall which the ladder touches is 18 ft. The length of the ladder is 3 more than the distance from the wall, so you can put the x as the distance from the wall and x+3 as the length of the ladder. Since this is a right triangle, you can use the Pythagorean’s rule (leg^2+leg^2=hypotenuse^2) to solve for x.

(18)^2 + (x)^2 = (x+3)^2 (plug in values)

324 + x^2 = x^2 + 6x + 9 (simplify)

324 = 6x + 9 (subtract x^2 )

315 = 6x (subtract 9)

x= 52.5 (divided by 6)

The answers you get is not the final answer because x is equal to the distance from the wall not the length of the ladder. Since the length is more than three feet we can add three to get our final answer.

52.5 + 3 = 55.5

Length of ladder = 55.5 ft.

, ; dcbsdkmnld

step-by-step explanation:

stew reads at the fastest rate of 265 words per minute.

step-by-step explanation:

it's a given that felicia reads at 260 word per minute and on connie's graph we can see that she reads 200 words per minute. since stew's table tells us that he read 795 in 3 minutes, we can divide 795 by 3 to find out how many words he reads per minute.

795/3 = 265

stew reads 265 words per minute - he reads at the fastest rate since felecia reads at 260 words per minute and connie reads at 200 words per minute.

stew (265) > felecia (260) > connie (200)