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

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 = √(20800)`

= 144.22 m

Hence the distance between the pond and farm is 144.22 m