Question

11. A 20 foot ladder is leaned against a wall. The base of the ladder is 10 feet from the wall. How much longer is the ladder than the height of the wall? Round to the nearest hundredth. You may use a calculator. Hint: draw a right triangle, label the sides appropriately, and use the pythagorean theorem.

Answer 1

Okay so draw a diagram with a ladder leaning against a wall and draw the ground now label the diagram take the hypotenuse is ladder and the base is distance between the ladder and the wall while the perpendicular is the wall

As we know hypo=√perpendicular^2+base^2 if we want to finder the p(perpendicular) the formula changes to p=√hypo^2-base^2 put the no in the places of the equation It should look something like this p=√20^2-10^2 use calculate to solve the answer should be 17. 32

Data

Given;

Hypo(h)= 20

Base(b)= 10

Required;

Perpendicular (p)=

Solution

As we know

hypo=√perpendicular^2+base^2

by changing the formula to find p

p=√hypo^2-b^2 -----eqi

by putting the values in eq i

p=√20^2-10^2

p=17.32