AI Mentor

Check Your IQ

Free Expert Demo

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

The angle of elevation of a ladder leaning against a wall is $60 °$ and the foot of the ladder is $4.6 m$ away from the wall. The length of the ladder is

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

2.3 m

4.6 m

7.8 m

9.2 m

answer is D.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

It is given that the angle of elevation of the ladder which leaning against the wall is

60 °

and the foot of the ladder is

4.6 m

away from the wall.
According to the given data the figure has been drawn below.
Question Image

Let

AB

be the wall and

BC

be the ladder.
Then,

∠ ACB = 60 °

and

AC = 4.6 m

cos θ = b a s e hypotenuse

\frac{AC}{BC} = \cos 60 °

= \frac{1}{2}

(\cos 60 ° = \frac{1}{2})

\Rightarrow BC = 2 \times AC

\Rightarrow BC = (2 \times 4.6) m

\Rightarrow BC = 9.2 m

So the length of the ladder is

9.2 m

.
So the correct option is 4.

Watch 3-min video & get full concept clarity

courses

No courses found

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!