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

Answer:

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

51 yards.

Step-by-step 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

$(AC)^{2} = (AB)^{2}+(BC)^{2}\\(AC)^{2} = (24)^{2}+(45)^{2}=2601\\\\AC=\sqrt{2601}=51\ yards$

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