Question

An archaeologist finds dinosaur bones 300 miles East and 100 miles North of his office and whale bones 300 miles East and 200 miles South of his office. How far apart are the dinosaur bones and the whale bones?

Answer 1

EXPLANATION

Let's see the facts:

The coordinates of the dinosaur bones are:

(x_1,y_1) = (300,100)

The coordinates of the whale bones are:

(x_2,y_2) = (300, -200)

Applying the distance equation will tell us how far apart are them:

`\text{distance = }\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}`

Substituting terms:

`\text{distance = }\sqrt[\square]{(300-300)^2+(-200-100)^2}`

Adding numbers:

`\text{distance = }\sqrt[]{(-300)^2}`

Solving the power:

`\text{distance = }\sqrt[]{90,000}`

Solving the root:

`dis\tan ce=300\text{miles}`

The distance is 300 miles.