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A ship of height 24 m is sighted from a ...

A ship of height 24 m is sighted from a lighthouse. From the top of the lighthouse the angle of depression to the top of the mast and base of the ship is `30^@ and 45^@` respectively. How far is the ship from the lighthouse ? (`sqrt3 = 1.73`)

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The correct Answer is:
`56.76 m `
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CHETAN PUBLICATION-TRIGONOMETRY-PROBLEMS FOR PRACTICE
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  3. Prove: (1 + cot^2 theta) (1 + cos theta)(1-cos theta) = 1

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  4. Prove the following trigonometric identities : cot^2theta-1/(sin^2t...

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  5. Prove: sin^4 theta - cos^4theta = 1 - 2cos^2 theta

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  6. Prove: sec theta + tan theta = 1/(sec theta - tan theta)

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  7. Prove: (cos theta)/(1+sin theta) = sec theta - tan theta

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  8. Prove: (tan^3 A +1 )/(tan A +1) = sec^2A -tan A

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  9. Prove: (sin theta + tan theta)/(cos theta) = tan theta (1 + sec thet...

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  10. Prove: cosec^2A -cos^2 A =(sec^2A -sin^2A)/(tan^2 A)

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  11. Prove: (1/(cos theta) + 1/(cot theta))xx (sectheta - tan theta) = 1

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  12. Prove: (cos^2 A + tan^2 A -1)/(sin^2 A ) = tan^2 A

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  13. Prove that: (tanA+ sec A-1)/(tan A-secA+1)=(cosA)/(1-sinA)

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