Solve the problem: a ladder that is 17 feet long is 8 feet from the base of a wall. how far up the wall does the ladder reach?

For this case we can solve the problem by using the Pythagorean theorem.

We know:

1) Length of the ladder representing the hypotenuse

2) Length from the wall to the base of the ladder, which represents the base of the triangle.

We want to know:

1) The height of the triangle that represents the height of the wall that the ladder reaches.

We have then:

The ladder reaches a height of 15 feet.

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3