A15-foot ladder rests against a wall. the base of the ladder is 8 feet from the wall. how far is the top of the ladder from the ground? enter your answer in the box. round to the nearest tenth.

The top of the ladder is 12.69 feet away from the ground

Step-by-step explanation:

Length of the ladder is given to be 15 foot

Also, The base of the ladder is 8 feet away from the wall.

Now, The height of the ladder will be perpendicular to the surface of the ground

So, It will form a right angled triangle

Now, The base of the triangle will be 8 feet

Hypotenuse of the triangle will be 15 feet

And we need to find the perpendicular height of the triangle

By using Pythagoras theorem, We have

Hypotenuse² = Base² + Perpendicular²

⇒ 15² = 8² + Perpendicular²

⇒ Perpendicular = 12.69 feet

Therefore, The top of the ladder is 12.69 feet away from the ground

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get