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

A ladder leans against a wall making an angle of measure $60^{\circ}$ with the ground. If the foot of the ladder is $3$ m away from the wall, then the length of the ladder is

see full answer

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.

An Intiative by Sri Chaitanya

\frac{3}{2}

3 \sqrt{3}

6

\frac{3 \sqrt{3}}{2} m

answer is C.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Given that the distance between the foot of the ladder and wall is

3 m .

A ladder leans against a wall making an angle of measure

60^{\circ}

with the ground.
Question Image

We have to find the length of the ladder
We use

cosθ = \frac{base}{hypotenuse}

Let us assume the length of ladder be

l

.
Now, by applying the above concept,

\cos 60^{\circ} = \frac{BC}{AC}

\frac{1}{\sec 60^{\circ}} = \frac{3}{l}

[since

cosθ

\frac{1}{secθ}

]

⟹ l = 3 \sec 60^{\circ}

⟹ l = 3 \times 2

[since

\sec 60^{\circ}

=2]

⟹ l = 6

.
Hence, the length of the ladder is

6 m

.
Therefore, the correct option is 3.

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 Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

Ready to Test Your Skills?

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

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!