Respuesta :
Answer:
22.63 ft
Step-by-step explanation:
In the right triangle ABC attached,
AB is the length of the ladder which is the hypotenuse
AC is the distance of the ladder's bottom from the house.
We are to determine how far up the side of the house the ladder will reach.
We apply Pythagoras Theorem to solve this.
[tex]\overline{AB}^2=\overline{AC}^2+\overline{BC}^2\\24^2=8^2+\overline{BC}^2\\\overline{BC}^2=576-64\\\overline{BC}^2=512\\BC=\sqrt{512}=22.63 ft[/tex]
The ladder will reach 22.63 ft (correct to 2 decimal places) up the wall of the house.
Answer:
x = 22,63 ft
Step-by-step explanation:
The side of the house, the ladder and the ground form a right triangle. The hypotenuse is the ladder ( 24 ft) and the legs are the side of the house (x uknown ) and the other leg, is distance between bottom of the ladder and the side of the house, therefore
Pytagoras Theorem :
H² = L₁² + L₂²
(24)² = (8)² + x²
x² = (24)² - (8)²
x² = 576 - 64 ⇒ x² = 512
x = 22,63 ft
