Question

From her home, Glera traveled 5.8 miles north to the grocery stare, then 2.1 mlles west to the library. What is the distance thom her home to the library

Answer 1

Answer:

6.16 miles

Step-by-step explanation:

When solving word problems like these, I like to start by drawing a picture.

So, Glera starts at her home and moves north by 5.8 miles. Then, she walks west by 2.1 miles to the library. The problem wants you to find the distance from her home to the library.

I've attached a drawing I made to help me visualize the problem. The distance from her home to the library is the hypotenuse of the triangle. To solve for it, you would use the equation $a^{2}$ + $b^{2}$ = $c^{2}$.

a and b are the sides of the triangle, and c is the hypotenuse.

$5.8^{2}$  + $2.1^{2}$ = $c^{2}$

33.64 + 4.41 = $c^{2}$

38.05 = $c^{2}$

To find c, you would take the square root of 38.05, which is about 6.16 if you use a calculator.

So, the distance from her home to the library is 6.16 miles!