Question

Nicolas places his 30 ft ladder against his house he is painting. If the foot of the ladder is 8 ft from the base of the house, how high above the ground is the top of the ladder touching the house. Nearest tenth.
Pythagorean’s Theorem

Answer 1

Answer:

28.9'

Step-by-step explanation:

Using the Pythagorean Theorem:

Let a = 8' base

Let b = x

Let c = 30' ladder

a^2 X b^2 = c^2

(8)^2 X (x)^2 = (30)^2

64 X (x)^2 = 900  (Subtract 64 from both sides of the equation)

x^2 = 836

$\sqrt{x}  = \sqrt{836}$

x = 28.9'