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

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 100 m, then find how far is that ship from the lighthouse.

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The correct Answer is:
The ship is `100 sqrt(3)` m far from the lighthouse .
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(8) From the top of a lighthouse, an observer looks at a ship and finds the angle of depression to be 60^@ . If the lighthouse is 90 m, then find how far is that ship from the lighthouse? (sqrt3 = 1.73)

From the top of a lighthouse, an observer looking at a ship makes an angle of depression of 60^@ . If the height of the lighthouse is 90 metre, then find how far the ship is from the lighthouse. ( sqrt3 = 1,73 )

From the top of a lighthouse, an observer looking at a boat makes an angle of depression of 60^(@) . If the height of the lighthouse is 90m , then find how far is the boat from the lighthouse. (sqrt(3)=1.73)

From the top of a building , an observer is looking at a scooter parked at some distance away , makes an angle of depression of 30^(@) . If the height of the building is 40 m , find how far the scooter is from the building. (sqrt(3) = 1.73)

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 )

The angle of depression of a ship as observed from the top of a lighthouse is 45^(@) . If the height of the lighthouse is 200 m , then what is the distance of the ship from the foot of the lighthouse ?

(11) A ship of height 24m 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)

A person standing on the bank of a river observes that the angle of elevation of the top of a tree standing on the opposite bank is 60^(@) . When he moves 40 m away from the bank, he finds the angle of elevation to be 30^(@) . Find the height of the tree and the width of the river. (sqrt3=1.73)

From the top of a light house, 80 metres high, two ships on the same side of light house are observed. The angles of depression of the ships as seen from the light house are found to be of 45^@ and 30^@ . Find the distance between the two ships. (Assume that the two ships and the bottom of the lighthouse are in a line)

From the top of a building 60m high the angles of depression of the top and the bottom of a tower are observed to be 30^0 and 60^0 . Find the height of the tower.

TARGET PUBLICATION-TRIGONOMETRY -Problem set - 6
  1. (3) 1 + tan^2 theta =?

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  2. What we see at a higher level from the horizontal line, angle formed i...

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  3. If sin theta = 11/61 find the values of cos theta using trigonometric...

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  4. (1) If tan theta=2, find the values of other trigonometric ratios usin...

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

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

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

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  8. Prove that : sec^(2)theta+"cosec"^(2)theta=sec^(2)theta*"cosec" ^(2)t...

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

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  10. Prove that : tan^(4)theta + tan^(2)theta = sec^(4)theta - sec^(2) th...

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  11. Prove 1/(1+sintheta)+1/(1-sintheta) = 2 sec^2 theta

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

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  13. Prove the following : (tan theta) / (sec theta + 1) = (sec theta - 1) ...

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

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  15. Prove that (sin theta - cos theta +1)/(sin theta + cos theta -1) = (...

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

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  17. From the top of a lighthouse, an observer looks at a ship and finds th...

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

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

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

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