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From the top of a lighthouse , an observ...

From the top of a lighthouse , an observer looks at a ship and finds the angle of depression to be `30^@`. If the height of the lighthouse is 100m, then find how far is that ship from the lighthouse.

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The correct Answer is:
The distance of the ship from the lighthouse is 173 m.
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From the top of a lighhouse, the angles of depression of two ships on the opposite sides of it are observed to be 30^(@) and 60^(@) . If the height of the lighthouse is h meters and thhe line joining the ships passes through the foot of the lighthouse. show that the distance between the ships is (4h)/(sqrt(3)) m.

As observed from the top of a 60 m high light house from the sea level , the angles of depression of two ships are 28^(@) and 45^(@) . If one ship is exactly behind the other on the same side of the lighthouse , find the distance between the two ships . ( tan 28^(@) = 0.5317 ) .

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CHETAN PUBLICATION-TRIGONOMETRY-PROBLEM SET -6
  1. If sin theta=11/61, ffind the value of cos theta using trigonometric i...

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  2. If tan theta=2, find the values of other trigonometric ratios.

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  3. If sec theta=13/12, find the values of other trigonometric ratios.

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  4. Prove each of the following identities : (i) sec theta(1- sin theta)...

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  5. Prove the following: (sec theta + tan theta)(1-sintheta) = costheta

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  6. Prove the following: sec^2 theta + cosec^2 theta = sec^2 theta xx cos...

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  7. Prove the following: cot^2 theta - tan^2 theta = cosec^2 theta - sec...

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

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  9. Prove the following: 1/(1-sin theta) + 1/(1+sintheta) = 2 sec^2theta

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  10. Prove the following: sec^6 x - tan^6 x = 1 + 3sec^2 x xx tan^2x

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  11. Prove the following: (tantheta)/(sectheta + 1)= (sectheta-1)/(tanthet...

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  12. Prove the following: (tan^3 theta - 1)/(tan theta - 1) = sec^2 theta ...

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  13. Prove the following: (sin theta - cos theta + 1 )/(sin theta + cos th...

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  14. A boy standing at a distance of 48 meters from a building observes the...

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  15. From the top of a lighthouse , an observer looks at a ship and finds t...

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  16. Two buildings are in front of each other on a road of width 15 meters....

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  17. A ladder on the platform of a firebrigade van can be elevated at an an...

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  18. While landing at an airport, a pilot made an angle of derpession of 20...

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