Question

What is the distance of the point \( (15, 8) \) from the origin?

• A. \(15\)
• B. \(16\)
• C. \(17\)
• D. \(18\)

Hint:

Distance from the origin is a special case of the distance formula: \( d=\sqrt{(x-0)^2 + (y-0)^2}=\sqrt{x^2+y^2} \).

Answer 1

The Correct Option is C

Step 1: Use the distance formula from the origin.
For a point \( (x, y) \), distance from origin \( O(0,0) \) is \( \sqrt{x^2 + y^2} \).
Step 2: Substitute \( x = 15 \) and \( y = 8 \).
\[ \sqrt{15^2 + 8^2} = \sqrt{225 + 64} = \sqrt{289} = 17. \]
Step 3: Conclude.
Hence, the required distance is \( 17 \).