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alukav5142 [94]
3 years ago
6

sally is on a scavenger hunt. a clue tells her to walk 100 steps due south from the starting point and then walk west when she g

ets to the next clue she will be approximately 150 steps from where she started. how many steps west should she take?​
Mathematics
1 answer:
Sophie [7]3 years ago
8 0

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  

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