Question

Jeni walks 100 meters east and then 50 meters north. How big is Jeni's displacement from the starting point?

a. 100 meters
b. 150 meters
c. 50 meters
d. About 112 meters

Answer 1

d. About 112 meters.

Step-by-step explanation:

From the question, John's displacement forms a right angle triangle as below.

Using Pythagoras theorem,

a² = b²+c²....................... Equation 1

Where a = John's displacement from the starting point, b = 100 m, c = 50 m

Substitite these values into equation 1

a² = 100²+50²

a² = 10000+2500

a² = 12500

a = √12500

a = 111.8 meters.

a = about 112 meters.

The right answer is d. About 112 meters.