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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:

Step-by-step explanation:

In this right triangle, you are given the measurements for the hypotenuse, c, and one leg, b. The hypotenuse is always opposite the right angle and it is always the longest side of the triangle. To find the length of leg a, substitute the known values into the Pythagorean Theorem. Solve for a2.

The ratio in simplest form is 4:5.

What is ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

here, we have,

There are 16 girls and 20 boys in the school band

so, the ratio is,

16/20,

divide both by 4

and you get 4/5

Hence, the ratio in simplest form is 4:5.

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