How far is the point \(P(-8,\,15)\) from the origin?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 17 units
The distance of a point \((x,\,y)\) from the origin \(O(0,\,0)\) is \(\sqrt{x^2+y^2}\). It is the hypotenuse of a right triangle whose other two sides are \(|x|\) and \(|y|\).
\(x^2=(-8)^2=64\)
\(y^2=15^2=225\)
\(x^2+y^2=64+225=289\)
\(OP=\sqrt{289}=17\) units
