a painter has a 24-foot ladder that he is using to paint a house for safety reasons, the ladder must be placed at least 8 feet from the base of the side of the house. to the nearest tenth of a foot. How high can the ladder safely reach?

Answers

Answer 1

Answer:

The ladder can safely reach up to 22.6 ft.

What is Pythagoras theorem?

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named Perpendicular, Base and Hypotenuse.

Given that, a ladder has a length of 24 ft, and it should be placed at least 8 feet from the base of the side of the house.

We need to find how high can the ladder safely reach,

Using the Pythagoras theorem here,

24²-8² = 576-64 = 512 ft

Hence, the ladder can safely reach up to 22.6 ft.

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Answer 2

Answer: this is a pythagorean theorem problem. 24 is the whole ladder, and if you draw it out, is a hypotenuse. 8 is a leg. $a^(2) + b^(2) = c^(2)$ . so 8^2 + b^2 = 24^2

b^2 = 512, so b = sqrt(512) = 22.6

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