Gerry plans to place a 24-foot ladder against the side of his house. The bottom of the ladder will be 4 feet from the house. How far up the side of the house will the ladder reach? Answer exactly or round to 2 decimal places.

This is a job for Pythagoras' Theorem. The ladder and the house and the ground form a right triangle.

a^2 + b^2 = c^2

a^2 + 4^2 = 24^2

a^2 + 16 = 576

a^2 = 560

a = 23.67

. The bottom of a 24-ft ladder is 6 ft from the side of a house. Find the distance from the top of the ladder to the ground. Round to the nearest tenth.

19.2 ft
24.7 ft
22.2 ft
23.2 ft

mama

a^2 + b^2 = c^2

a^2 + (6)^2 = (24)^2
a^2 + 36 = 576
a^2 = 540 (576-36=540)
sqrt(a^2) = + or - sqrt(540) (negatives are not solutions in this case)
a = 23.2
Your answer is 23.2 ft.

Cuando se va acabar el mundo?

No hay una fecha precisa o conocida sobre el fin del mundo. Tanto las religiones como la ciencia tienen diferentes teorías y creencias sobre cómo y cuándo podría ocurrir un evento de ese tipo, pero es importante centrarse en vivir el presente y hacer del mundo un lugar mejor para todos, en lugar de preocuparse por un posible fin.

To find out how far up the side of the house the ladder will reach, we can use the Pythagorean theorem. The theorem states that in a right-angled triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.

In this case, the ladder forms a right-angled triangle with the side of the house and the ground. The bottom of the ladder forms one side of the triangle, which is 4 feet long. The ladder itself is the hypotenuse, which is 24 feet long.

Let's assume that the ladder reaches a height of "x" feet up the side of the house. So, the other side of the triangle would be "x" feet long.

Using the Pythagorean theorem, we can set up the equation:

x^2 + 4^2 = 24^2

Simplifying the equation:

x^2 + 16 = 576

Subtracting 16 from both sides:

x^2 = 560

Taking the square root of both sides:

x = sqrt(560)

Calculating the value:

x ≈ 23.67

Therefore, the ladder will reach approximately 23.67 feet up the side of the house.