Book Online Demo

Check Your IQ

Try Test

Courses

Offline Centres

If the altitude of the sun is at $60^{\circ}$ then the height of the vertical tower that will cast a shadow of length 20 m is [take $\sqrt{3} = 1.732$ ]

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

20 \sqrt{3} m

\frac{20}{\sqrt{3}} m

\frac{15}{\sqrt{3}} m

40 \sqrt{3} m

answer is A.

(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 the altitude of the sun is at

60^{\circ}

and the shadow length 20 m.
Question Image

Let the height of the tower be

h .

We know that tan

θ = \frac{perpendicular}{base}

\Rightarrow \tan 60^{0} = \frac{AB}{BC}

\Rightarrow \sqrt{3} = \frac{h}{20}

[since

\tan 60^{0} = \sqrt{3}

]

\Rightarrow h = 20 \sqrt{3}

m
Hence, the height of the vertical tower is

20 \sqrt{3}

m.
Therefore, the correct option is 1.

Watch 3-min video & get full concept clarity

JEE

NEET

Foundation JEE

Foundation NEET

CBSE