Respuesta :
Answer:
28.9 m
Step-by-step explanation:
30²-8²=900-64= 836
√836 = 28.9 m
The Ladder reach 28.91 ft. up the house which is 8 ft. away from the base.
What is pythagoras theorem?
The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.
Here, Given, length of ladder ( Hypotenuse ) = 30 ft.
Distance from base = 8 ft.
By Pythagoras theorem,
Hypo.² = perp.² + base²
30² = x² + 8²
900 = x² + 64
x² = 900 - 64
x² = 836
x = √836
x = 28.91 ft.
Thus, the Ladder reach 28.91 ft. up the house which is 8 ft. away from the base.
Learn more about Pythagoras theorem from:
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