An 8 ft ladder is leaning against a wall. The bottom of the ladder is 6 ft from the base of the wall. How far up the wall does the ladder reach?

Question

 please help

Answer 1

This is right angle triangle question

An 8 ft ladder is leaning against a wall : so we can consider hypotenuse is 8 feet

 

The bottom of the ladder is 6 ft from the base of the wall : so one leg  of right angle triangle is 6 feet

 

 

How far up the wall does the ladder reach :  so we have to find other leg of triangle

 

let consider other leg = b

 

So we can use Pythagorean theorem

 

6^2 + b^2 = 8^2

 

36 +b^2=64

 

b^2 =32

 

b=√32

 

=√(16*2)

 

    =4√2 

 

So the the ladder reach=4√2 feet 

 

 

Answer 2

Another right-triangle problem, Chloe. Draw a sketch. The ladder will be the hypotenuse of the triangle. The distance from the bottom of the ladder to the wall is one of the legs. The other leg will be how far up the wall the ladder reaches. Use the Pythagorean Theorem to find the value of this side of the right-triangle.