GATE2019 CE-1: GA-3

Question

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.

• A. $15$
• B. $25$
• C. $30$
• D. $35$

Answer 1

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)

Comments

angle made by ladder with pole is also 45 degrees..

property: sides opposite to equal angles are equal.

(h/5)=6

h=30m..