Distance from Starting Point Calculation

What is the distance from the starting point of Kavi based on the given data?

(1) 50 m

(2) 10 m

(3) 20 m

(4) 90 m

Answer:

Kavi is 50 m from his starting point.

To find the distance Kavi is from his starting point, we can use the concept of coordinates. When Kavi walks northward 10 m, he moves up on the y-axis. When he turns left and walks 30 m, he moves left on the x-axis. Finally, when he turns left again and walks 50 m, he moves down on the y-axis. So, the final position of Kavi can be represented as (-30, -40).

To find the distance from the starting point, we can use the Pythagorean theorem. The distance is the hypotenuse of a right triangle with sides 30 m and 40 m. Using the formula √(a² + b²), we can calculate the distance as √(30² + 40²) = √(900 + 1600) = √2500 = 50 m. Therefore, the correct answer is (1) 50 m.

By understanding how to calculate the distance from the starting point in a coordinate system, we can apply this knowledge to various scenarios that involve direction and distance. It is important to grasp the concept of coordinates and utilize mathematical formulas such as the Pythagorean theorem to calculate distances accurately.