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Direction Sense · Question 61 of 67

Question 61

MediumOriginal question

Two petrol pumps, X and Y, are 16 km apart, with Y due east of X. A dhaba Z is 6 km due north of the point midway between X and Y. How far is Z from X?

Options for question 61

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. The midpoint is 8 km east of X.

  2. Z is 8 km east and 6 km north of X.

  3. Distance =82+62=10= \sqrt{8^2 + 6^2} = 10 km.

Worth noting

2732\sqrt{73} km uses the full 16 km instead of half of it. 14 km and 22 km add the legs.

Concept
Midpoint and Pythagoras
Typical time
70 s
Your time
—
The rule this testsRelative positions of places
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Ten questions from Direction Sense, at your own pace.

Practise this chapter →

Ten questions from Direction Sense, at your own pace.

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