Question

If a person walks first 70 m in the direction 37° north of east, and then walks 82 m in the

Answer 1

Aster's final position from her initial position is 63 m approximately. She will head north west direction to return to her initial position

What is Displacement ?

Displacement is the distance travelled in a specific direction. It is a vector quantity.

Given that a person walks first 70 m in the direction 37° north of east, and then walks 82 m in the direction 20° south of east, and finally walks 28 m in the direction 30° west of north.

a) Let P be the Aster's final position from her initial position?

We can use bearing by using Cosine formula to solve this question.

P² = 70² + 82² - 2 × 70 × 82 cos 73

P² = 4900 + 6724 - 11480 cos 73

P² = 11624 - 3356.43

P² = 8267.57

P = √8267.57

P = 90.9 m

P = 90.9 - 28

P = 62.9 m

We can get the angle by using Sine rule

82/ sin Ф = 90.9 / sin 73

sin Ф = 0.8627

Ф = $Sin^{-1}$ (0.8627)

Ф = 59.6°

Ф = 60°

b)  She will head north west direction to return to her initial position

Learn more about Displacement here: brainly.com/question/2109763

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