What height on the wall will a 15 foot ladder reach if its plaxed 3.5 feet from the base of a wall

Answer

= 14.6 feet

Explanation

The length of the ladder is 15 feet and it is place against the wall 3.5 feet from the base of the wall.

This makes a right triangle with a base length of 3.5 feet and a hypotenuse of 15 feet.

So, we can use the pythagorean theorem to calculate the height required.

a² = c² - b²

Where a and b are the legs of the right triangle and c is the hypotenuse.

a² = c² - b²

h² = 15² - 3.5²

h² = 225 -12.25

= 212.75

h = √212.75

= 14.58595215

step-by-step explanation: