Answer:
She should take 112 steps west
Step-by-step explanation:
* Lets explain the relation between the four directions
- North and South on the same line by in opposite directions
- East and West on the same line by in opposite directions
- East and West are perpendicular to the North and South
* Now lets study the situation i the problem
- Sally 100 steps due to South from the starting point
- Then she walk West when she gets the next clue
- The distance between her starting point and ending point is 150 steps
∵ The South is perpendicular to the West
- Lets consider her trip is a right angle triangle ABC, where AB
her steps South and BC her steps West and AC the distance
between her starting point and ending point
∵ AB = 100
∵ AC = 150
∵ m∠B = 90°
- By using Pythagoras theorem
∵ BC = √(AC² - AB²)
∴ BC = √(150² - 100²) = 50√5 = 111.8 steps
* She should take 112 steps west
