← Quantitative Aptitude

Heights & Distances — Questions with Solutions

1 solved Heights & Distances questions from Quantitative Aptitude, as asked in SSC CGL and other SSC exams. Read the answer and explanation below, then practise the full set in the practice section.

Practise this topic

Q1. A pole $10\text{ m}$ long rests slantly against a vertical wall AB making an angle $30^\circ$ with the horizontal (ground). Find how far the foot of the pole is from the wall.

एक $10\text{ m}$ लंबा खंभा क्षैतिज (जमीन) के साथ $30^\circ$ का कोण बनाते हुए एक ऊर्ध्वाधर दीवार AB के सहारे तिरछा टिका हुआ है। खंभे का निचला सिरा दीवार से कितनी दूर है?

  1. A. $15\text{ m}$
  2. B. $\frac{5}{\sqrt{3}}\text{ m}$
  3. C. $10\text{ m}$
  4. D. $5\sqrt{3}\text{ m}$

Solution

Distance = Length of pole $\times \cos 30^\circ = 10 \times \frac{\sqrt{3}}{2} = 5\sqrt{3}\text{ m}$.