Question

26) If a = 5 and b= 10, use the formula below to approximate the distance between the planes to the nearest

hundredth.

Answer 1

11.18 miles

Explanation:

We see a right triangle here

and a² + b² = c² shows the relationship between all sides of the triangle

c is the hypotenuse and also the distance between the planes.

Let's plug in the values 5 and 10 in the equation to find c

(5)² + (10)² = c²

Solve!

25 + 100 = c²

125 = c²

find the square root of 125

√125 = √c²

c ≈ 11.18 miles

Answer 2

Answer: 11.18 mi

Explanation:

They give us all the information we need to solve. We will be using the Pythagorean theorem to help us solve this question.

Given:

a² + b² = c²

Substitue values:

5² + 10² = c²

Square values:

25 + 100 = c²

Addition:

125 = c²

Square root both sides:

`√(125)` = c

Square root and round at hundredths place:

c ≈ 11.18 mi