Answer :
Answer 9.5
you do the pyragtaham theory thing its A(squared) + B (squared) = C squared
you put the 3 at the A and you put the 10 at the C you sqaure them all up and then subtrct 9 from 100 and you get 91 and then you square root 91 and you get 9.5
The distance from the top of the ladder to the ground is 9.54 ft.
What is a right triangle?
"It is a triangle whose one of the angle is 90°"
What is hypotenuse?
"The longest side of the right triangle is called as hypotenuse."
What is Pythagoras theorem?
"For a right triangle,
c² = a ² + b²,
where c = hypotenuse and a, b are other two sides of right triangle."
For given example,
Gwendolyn placed a ladder against the side of her house.
This means, it makes right triangle with ladder hypotenuse and base of the triangle is the distance between base of the ladder and the base of the house.
Let 'a' be the hypotenuse of triangle, 'b' be the base and 'd' be the distance from the top of the ladder to the ground
⇒ a = 3 ft. and b = 10 ft.
Using Pythagoras theorem,
⇒ b² = a² + d²
⇒ 10² = 3² + d²
⇒ 100 = 9 + d²
⇒ d² = 91
⇒ d = 9.54 ft.
Therefore, the distance from the top of the ladder to the ground is 9.54 ft.
Learn more about Pythagoras theorem here:
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