Question

Billy Bob’s barn is 80 m north of his house. The farms pond is 120 m west of the house. How far is the pond from the farm?

Answer 1

Answer:

Billy Bob’s farm is 80 m north of his house. The farms pond is 120 m west of the house. So the distance between the pond and the farm is 144.42 m.

Solution:

From question, given that billy bob’s farm is 80 m north of his house and pond is 120 m west of the house.

The given can be represented using the diagram given below:

where,

“a” indicates the distance between the house and the pond  

“b” indicates the distance between the house and the farm  

“c” indicates the distance between the farm and the pond.

For a right angled triangle, by Pythagoras theorem,  

$\bold{c^{2} = a^{2} + b^{2}}$

$c^{2} = 120^{2} + 80^{2}$

$c^{2} = 14400 + 6400$

= 20800  

Taking square root on both sides, we get

$c = \sqrt{20800}$

= 144.22  m

Hence the distance between the pond and farm is 144.22 m