MATH SOLVE

2 months ago

Q:
# 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?

Accepted Solution

A:

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, [tex]\bold{c^{2} = a^{2} + b^{2}}[/tex][tex]c^{2} = 120^{2} + 80^{2}[/tex][tex]c^{2} = 14400 + 6400[/tex]= 20800 Taking square root on both sides, we get
[tex]c = \sqrt{20800}[/tex]= 144.22 mHence the distance between the pond and farm is 144.22 m