The GATE Grind

GATE 2019 CE (CE1) – Question 3

General Aptitude · Quantitative Aptitude: Algebra, Geometry and Mensuration · 1 mark · Multiple choice

On horizontal ground, the base of a straight ladder is 6 m from the base of a vertical pole. The ladder makes 45° with the horizontal and rests on the pole at one-fifth of its height from the bottom. Find the pole height (m).

  1. 15
  2. 25
  3. 30
  4. 35

Practise this question in The GATE Grind →

Show answer and explanation

Correct answer: (C) 30

Explanation

The contact height is $6\tan45^\circ=6$ m. Since this is one-fifth the pole height, the pole is $5(6)=$ **30 m, C**.