Edgar likes to skate at a movie theater that is due south of his school and due west of his favorite ice cream parlor. If the movie theater is 1 mile from his school and the straight-line distance between the school and the ice cream parlor is 4 miles, how far is the movie theater from the ice cream parlor? If necessary, round to the nearest tenth.

Respuesta :

Answer:

The distance between movie theatre and  the ice cream parlour is 4.12 miles

Step-by-step explanation:

Given;

The distance between the school and  movie theatre = 1 mile

The straight-line distance between the school and the ice cream parlour is = 4 miles

To Find:

How far is the movie theatre from the ice cream parlor = ?

Solution:

Fro the attached figure we could see that the locations forms a right triangle. Thus we can find the distance of the movie theatre from the ice cream parlour by using Pythagorean theorem.

distance of the movie theatre from the ice cream parlour be x

Then

[tex]x = \sqrt{ 1^2 + 4^2}[/tex]

[tex]x= \sqrt{1 +16}[/tex]

[tex]x = \sqrt{ 17}[/tex]

x = 4.12 miles

Ver imagen nandhini123