A guy attached a wire, 24m long, to a vertical pole of height 18m and has a stake attached to the other end. The distance of the pole should the stake be driven so that the wire will be taut is ____.

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

A guy attached a wire, 24m long, to a vertical pole of height 18m and has a stake attached to the other end. The distance of the pole should the stake be driven so that the wire will be taut is

6 \sqrt{7}

.
In right-angled triangles,

p^{2} + b^{2} = h^{2}

Sketching the diagram according to the question,
Question Image

Considering AB as the vertical pole, BC as the distance of the stake from the pole’s base and AC as the length of the wire we get,

\Rightarrow {AB}^{2} + {BC}^{2} = {AC}^{2}

\Rightarrow 18^{2} + {BC}^{2} = 24^{2}

\Rightarrow {BC}^{2} = 576 - 324

\Rightarrow BC = \sqrt{252}

\Rightarrow BC = 6 \sqrt{7}

m
Therefore, the required integer is

6 \sqrt{7}

Watch 3-min video & get full concept clarity

tricks from toppers of Infinity Learn

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

🔥 Start Your JEE/NEET Prep at Just ₹1999 / month - Limited Offer! Check Now!

Get Expert Academic Guidance – Connect with a Counselor Today!

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET