Question

To go to school each day zane walks 24 yards due south then 45 yards east if zane were able to walk a straight line from home to school how many yards would he walk?

Answer 1

Therefore Zane walk 51 yards a straight line from home to school .

51 yards.

Explanation:

Given:

Consider Home at Point A and School at Point C such that

AB = 24 yards due south = Shorter leg

BC = 45 yards east = Longer leg

To Find:

AC = from home to school = ? = Hypotenuse

Solution:

In Right Angle Triangle ABC ,By Pythagoras theorem we have

`(\textrm{Hypotenuse})^(2) = (\textrm{Shorter leg})^(2)+(\textrm{Longer leg})^(2)`

Substituting the values we get

`(AC)^(2) = (AB)^(2)+(BC)^(2)\\(AC)^(2) = (24)^(2)+(45)^(2)=2601\\\\AC=√(2601)=51\ yards`

Therefore Zane walk 51 yards a straight line from home to school .