Question

HELPPPPP PLEASE

20 POINTSSSS
The park is 52 km directly west of the school and 39 kilometers directly south of the mall. What is the length of the road that runs straight from the school to the mall?

Answer 1

the answer to this should be 65. 

Answer 2

the length of the road that runs straight from the school to the mall is 65 km

Explanation:

Refer the attached figure

AB denotes the distance between park and school

i.e. AB = 39 km

BC denotes the distance between park and mall i.e. 52 km

So, to calculate the distance between MALL and SCHOOL ie. AC

Use Pythagoras theorem i.e.

`Hypotenuse^(2) =perpendicular^(2) +base^(2)`

`AC^(2) =BC^(2) +AB^(2)`

`AC^(2) =39^(2) +52^(2)`

`AC^(2) =1521 +2704`

`AC^(2) =4225`

`AC = √(4225)`

`AC =65`

Hence the length of the road that runs straight from the school to the mall is 65 km