Final answer:
To find the length of JK, we use the distance formula, which results in an approximate distance of 70 units, making the answer (a) 70 units.
Step-by-step explanation:
The question asks us to find the length of JK given two points J and K with their coordinates. To do this we apply the distance formula for points in a Cartesian plane, which is √((x2 - x1)² + (y2 - y1)²). Using J (-20, 53) and K (36, 10), we calculate:
- x2 - x1 = 36 - (-20) = 36 + 20 = 56
- y2 - y1 = 10 - 53 = -43
- Distance = √(56² + (-43)²) = √(3136 + 1849) = √4985
- Distance = √4985 ≈ 70.6 ≈ 70 units (approximated to the nearest whole number)
Therefore, the length of JK is approximately 70 units.