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

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`)

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The correct Answer is:
`69.20` m
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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)

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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)

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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 ?

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)

A boy is at a distance of 60 m from a tree, makes an angle of elevation of 60^@ with the top of the tree. What is the height of the tree?

A straight highway leads to the foot of a tower. A man standing at the top of the tower observes a car at an angle of depression of 30^0 , which is approaching the foot of the tower with a uniform speed. Six seconds later, the angle of depression of the car is found to be 60^0 . Find the time taken by the car to reach the foot of the tower from this point.

BAL BHARTI-TRIGONOMETRY-Problem set 6
  1. From the top of a lighthouse, an observer looking at a ship makes an a...

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

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

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

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  5. Prove the following : (i) sec theta (1-sin theta) (sec theta + tan the...

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  6. Prove the following : (sec theta + tan theta) (1-sin theta) = cos thet...

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  7. Prove the following : sec^2 theta + cosec^2 theta = sec^2 theta times ...

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

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

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  10. Prove that : (ii) 1/(1+ sin theta)+(1)/ (1-sin theta) = 2sec^2 theta

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

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

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

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  14. Prove the following : (sin theta -cos theta + 1)/(sin theta + cos thet...

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

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

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

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  18. A ladder on the platform of a fire brigade van can be elevated at an a...

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  19. From the top of a lighthouse, an observer looking at a ship makes an a...

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