Question

Aster first walks 70m in the direction of 37degree north of east then walks 82m 20 degree south of east ,and finally walks 28m inthe direction of 30 degree west of north ,find displacement and angle from initial point ?

Answer 1

Answer:

Step-by-step explanation:

Answer 2

The displacement is 90.7 meter from initial point.

According to the statement

Aster first walks 70m in the direction of 37 degree north of east

Aster walks 82m 20 degree south of east

Aster finally walks 28m in the direction of 30 degree west of north

We use

β= 37 degree +(30 degree −20 degree) = 47 degree

We can use cosine law to solve for R.

R = ((A)^2 + (B)^2 + 2ABcosβ)^1/2

R = ((70)^2 + (28)^2 + 2*70*28cos47)^1/2

R = (4900 + 784 + 3920*0.682)^1/2

R = (4900 + 784 + 2673.5)^1/2

R = (8357.5)^1/2

R = 90.7 m

So, The displacement is 90.7 meter from initial point.

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