Question

11) A body runs 400m on a straight path making an angle of 37° east of north. How far east and how far north does he moves from his starting point?​

Answer 1

The body moves approximately 322.80m east and approximately 240.69m north.

Step-by-step explanation:

To find how far east and how far north the body moves, we can break the displacement into its east and north components using trigonometry.

East component = displacement * cosine(angle)

North component = displacement * sine(angle)

Given that the body runs 400m at an angle of 37° east of north, the east component is 400m * cosine(37°) and the north component is 400m * sine(37°).

Using a calculator, the east component is approximately 322.80m and the north component is approximately 240.69m.