Book Online Demo

Check Your IQ

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

Two poles of heights 10 m and 15 m, stand on a plane ground. If the distance between their feet is 12 m, the distance between their tops is

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away

An Intiative by Sri Chaitanya

12 m

13 m

12.5 m

13.5 m

answer is B.

(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

Given that two poles of heights 10 m and 15 m, stand on a plane ground and the distance between their feet is 12 m.
Question Image

Let us draw a perpendicular from

B

CD

which meets

CD

P

.
It is clear that

BP = 12 m

because it is given that distance between feet of the two poles is

12 m

.
After drawing the perpendicular we get a rectangle

BACP

such that

AB = PC

and

BP = AC

.
Because of this construction we also obtained a right angled triangle

BPD

.
Now by Pythagoras theorem,

B D^{2} = B P^{2} + D P^{2}

B D^{2} = 12^{2} + 5^{2} [∵ DP = DC - PC = 15 - 10 = 5 m]

\Rightarrow B D^{2} = 144 + 25

\Rightarrow B D^{2} = 169

\Rightarrow BD = 13

m .
Therefore, distance between the top of the two poles is

13 m

.
Hence

2

is the correct option.

Watch 3-min video & get full concept clarity

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

How to Join IIT after 10th

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

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

How to Join IIT after 10th