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

Statement I: $A$ kite is flying with the string inclined at 30 $°$ to the horizontal. The height of the kite above the ground when the string is $15$ m long is $7.5$ m.

Statement II: The altitude of the sun is $45 °$ , when the length of the shadow of a pole is the same as the height of the pole.

Which of the above statements is/are true?

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

Only I

Only II

Both I and II

Neither I nor II

answer is C.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

It is given in the first statement, a kite is flying with the string inclined at an angle

30 °

to the horizontal.
A draft picture as the given condition has been drawn below.
Question Image

Let h is the height of the kite from the ground.
Here,

sin θ = P e r p e n d i c u l a r H y p o t e n u s e

\sin {30 °}^{} = \frac{h}{15}

We know

\sin 30 ° = \frac{1}{2}

.
So we get,

\Rightarrow \frac{1}{2} = \frac{h}{15}

\Rightarrow h = \frac{15}{2}

\Rightarrow

h = 7.5

m
Height of kite is 7.5m.
Therefore, statement 1 is true.
Statement 2 :
A draft picture has been drawn below.
Question Image

Here,

tan θ = P e r p e n d i c u l a r b a s e

tanθ = \frac{AB}{BC}

As height of pole = length of shadow =

h

tanθ = \frac{h}{h}

tanθ =

1
We know,

\tan 45 ° = 1 .

Therefore,

θ

=45

°

Thus, altitude of sun is 45

°

.
Therefore, statement II is true.
Hence, both the statements are correct.
So, the correct option is 3.

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!