4 votes 4 votes On a horizontal ground, the base of a straight ladder is $6$ m away from the base of a vertical pole. The ladder makes an angle of $45^{\circ}$ to the horizontal. If the ladder is resting at a point located at one-fifth of the height of the pole from the bottom, the height of the pole is ______ meters. $15$ $25$ $30$ $35$ Quantitative Aptitude gate2019-ce-1 general-aptitude quantitative-aptitude geometry + – Arjun asked Feb 14, 2019 • edited Jun 4, 2019 by Lakshman Bhaiya Arjun 1.3k views answer comment Share Follow Migrated from GO Civil 4 years ago by Arjun See all 0 reply Please log in or register to add a comment.
Best answer 5 votes 5 votes Let, height of the vertical pole is $h$ meters. Now, according to above figure, $\tan 45^{\circ} = \frac{h/5}{6}$ $\Rightarrow 1 = \frac{h}{30}$ $\Rightarrow h = 30$ So, height of the pole is $30\; meters.$ Answer is (C) ankitgupta.1729 answered Jun 4, 2019 • edited Jun 12, 2019 by akash.dinkar12 ankitgupta.1729 comment Share Follow See 1 comment See all 1 1 comment reply suchithreddy commented Oct 13, 2019 reply Follow Share angle made by ladder with pole is also 45 degrees.. property: sides opposite to equal angles are equal. (h/5)=6 h=30m.. 1 votes 1 votes Please log in or register to add a comment.
