Question

PLEASE HELP QUICK, GIVING BRAINLIEST
A cone-shaped hat is shown:
(below)

What is the approximate height of the hat?

3.51 centimeters, because height = Square root of the difference of 18 and 5.7
17.07 centimeters, because height = Square root of the difference of the squares of 18 and 5.7
18.88 centimeters, because height = Square root of the sum of the squares of 18 and 5.7
4.87 centimeters, because height = Square root of the sum of 18 and 5.7

Answer 1

This is classic Pythagorean solving:

Side^2 + Side^2 = Hypotenuse^2

The hypotenuse is the longest side of a triangle, and it connects the leg and the base usually. In this triangle, 18 is the hypotenuse -- so since we are solving for the unknown side, the equation is:

a^2 + 5.7^2 = 18^2 -- now solve

a^2 = 18^2 - 5.7^2

a^2 = 291.51

a = sqrt(291.51)

a = 17.07 -- because height is the square root of the difference of the squares of 18 and 5.7

The answer is choice B.