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Find the angle of elevation of the Sun w...

Find the angle of elevation of the Sun when the shadow of a pole ` h` `m` high is `sqrt3 h` `m` long.

A

`30^@`

B

`45^@`

C

`60^@`

D

`90^@`

Text Solution

Verified by Experts

The correct Answer is:
A
Let the angle of elevation of the Sun is `theta`.
Given, height of pole =h
Now, in `DeltaABC`,
`tantheta= (AB)/(BC) = h/(sqrt(3)h)`
`tantheta=1/sqrt(3)= tan30^(@) rArr theta = 30^(@)`
Hence, the angle of elevation of the Sun is `30^(@)`.
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NCERT EXEMPLAR-INTRODUCTION TO TRIGoNOMETRY AND ITS APPLICATIONS-Introduction To Trigonometry And Its Applications
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  2. tantheta+tan(9 0^(@)-theta)=secthetaxxsec(9 0^(@)-theta)

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  3. Find the angle of elevation of the Sun when the shadow of a pole h m ...

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  4. If sqrt(3)tantheta=1 then find value of sin^2theta-cos^2theta

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  5. A ladder 15 m long just reaches the top of a vertical wall. If the ...

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  6. Simplify: (1+tan^(2)theta)(1-sintheta)(1+sintheta)

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  7. If 2sin^2theta-cos^2theta=2, find the value of theta.

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  8. Evaluate : (cos^2(45 + theta) + cos^2(45 - theta))/(tan(60^@ + theta)...

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  9. An observer, 1.5 m tall, is 20.5 m away from a tower 22 m high. Determ...

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  10. Prove the following identity: sec^4theta-sec^2theta=tan^4theta+tan^2th...

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  11. If cosectheta + cottheta=p, then cos theta=

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  12. Prove that sqrt(sec^(2)theta + cosec^(2)theta) = tantheta + cottheta.

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  13. The angle of elevation of the top of a tower from a certain point is 3...

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  14. If 1+sin^(2)theta = 3sinthetacostheta, then prove that tantheta=1 or 1...

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  15. If sintheta + 2 costheta=1,then 2sintheta-costheta=

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  16. The angle of elevation of the top of a tower from two distinct points ...

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  17. The shadow of a tower standing on a level ground is found to be 40 m ...

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  18. A vertical tower Stands on a horizontal plane and is surmounted by a v...

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  19. if tantheta+sectheta=l then tantheta=

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  20. If sin theta+ cos theta = p and sec theta + cosec theta = q; show that...

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