Chapter 9.4, Problem 8PSA

To determine

To Calculate: The distance between foot of the ladder and wall.

Answer to Problem 8PSA

Thedistance between foot of the ladder and wall is $14$ dm

Explanation of Solution

Given information: The measures of hypotenuse ( h ) and perpendicular ( p ) are as follows:

h = $50$ dm

p = $40$

Formula used:Here, we are using Pythagoras theorem.

Calculation: Here, the formula is

  ${\left(Hypotenuse\right)}^2={\left(perpendicular\right)}^2+{\left(base\right)}^2$

Let the base be x

  ${\left(50\right)}^2={\left(48\right)}^2+x^2$

  $2500-2304={\left(x\right)}^2$

  $196={\left(x\right)}^2$

  $x=14$ dm

Conclusion: Hence,distance between foot of the ladder and wall is $14$ dm