Question

An 18ft ladder leans against a house, reaching a point 14ft above the ground. How far is the foot of the ladder from the bottom of the house

Answer 1

Answer:

11.3137085 ft

Step-by-step explanation:

The length (l) of the ladder is 18ft

The height (h) of the ladder from the ground is 14 ft

The distance (x) of the foot of the ladder to the bottom of the house is:

Applying the Pythagorean theorem:

x² = l² - h²

x = $\sqrt{l^2 - h^2}$

x = $\sqrt{18^2 - 14^2}$ = 11.3137085 ft

Answer 2

Answer: a^2+b^2=c^2

Step-by-step explanation: (18^2=14^2+c^2)=324=196+c^2

324-196=128 and the square root of 128 is 8 radical 2 or in decimal form 11.31