Question

Alonso stands 8 yards west of Gregory. He then walks 10 yards north and discovers an arrowhead. How far is the arrowhead from Gregory’s position?

Answer 1

Distance
`=√(164)\ \approx12.80\ yards`

Explanation

Pythagorean theorem :

In a right triangle

`(Hypotenuse)^2=(Perpendicular)^2+(base)^2`

From the diagram

`perpendicular = 10\ yards\\\\Base = 8\ yards \\\\Hypotenuse = distance\ (d)\\\\(d)^2=(10)^2+(8)^2\\(d)^2=100+64\\(d)^2=164\\d=√(164)\ \approx12.80\ yards`