Home
Class 12
MATHS
The angle of elevation of a stationary c...

The angle of elevation of a stationary cloud from a point 2500m m above a lake is `15^(@)` and the angle of depression of its image in the lake is `45^(@).` The height the cloud above the lake level is

A

`2500 sqrt(3) m`

B

`2500 sqrt(2) m`

C

`1500 m`

D

`1500 sqrt(3) m`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    BITSAT GUIDE|Exercise BITSAT Archives|41 Videos

  • THREE DIMENSIONAL GEOMETRY

    BITSAT GUIDE|Exercise BITSAT ARCHIVES |11 Videos

  • VECTOR ALGEBRA

    BITSAT GUIDE|Exercise BITSAT Archives|21 Videos

Similar Questions

Explore conceptually related problems

The angle of elevation of a stationary cloud from a point 25 m above a lake is 15^(@) and the angle of depression of its image in the lake is 45^(@) . The height of the cloud above the lake level is

The angle of elevation of a stationery cloud from a point 2500 m above a lake is 15o and the angle of depression of its reflection in the lake is 450. What is the height of the cloud above the lake level? (Use tan 15o =0.268)

The angle of elevation of a stationary cloud from a point 2500 feet above a lake is 30^@ and the angle of depression of its reflection in the lake is 45^@ .Find the height of cloud above the lake water surface .

If the angle of elevation of a cloud from a point 200m above a lake is 30^(@) and the angle of depression of its reflection in the lake is 60^(@) .Then the height of the cloud above the lake is :

The angle of elevation of a stationary cloud from a point h meter above a lake is 15^(@) and angle of depression of its reflection in the lake is beta . Prove that height of the cloud above the lake is (h(tanbeta+tanalpha))/(tanbeta-tanalpha) .

The angle of elevation of a cloud from a point 250 m above a lake is 15^(@) and angle of depression of its reflection in lake is 45^(@) . The height of the cloud is

The angle of elevation of a stationary cloud from a point 200 m above the lake is 30^(@) and the angle of depression of its reflection in the lake is found to be 60^(@) . Find the height of the cloud .

The angle of elevation of cloud from a point 60 m above a lake is 30^(@) and the angle of depression of the reflection of cloud in the lake is 60^(@) . Find the height of the cloud .

BITSAT GUIDE-TRIGONOMETRY-BITSAT Archives
  1. The angle of elevation of a stationary cloud from a point 2500m m abov...

    Text Solution

    |

  2. Number of roots of the equation |sinxcosx| +sqrt(2+t a n^2x+cot^2x)=sq...

    Text Solution

    |

  3. The greatest and least values of (sin^(-1)x)^(2) + (cos^(-1)x)^(2) are...

    Text Solution

    |

  4. Find the number of solutions of cos x =|1+ sin x |, 0 le x le 3 pi

    Text Solution

    |

  5. The vaue of the expression sin [cot^(-1){cos (tan^(-1))}] is

    Text Solution

    |

  6. An object is observed from the points A, B and C lying in a horizontal...

    Text Solution

    |

  7. If tan 20^(@) =lamda, then (tan 160^(@) -tan 110^(@))/(1+ (tan 160^(@)...

    Text Solution

    |

  8. The angles of a triangle are in AP and the least angle is 30^(@). What...

    Text Solution

    |

  9. If A+B+C=90^(@)," then "(cot A+ cot B+ cot C)/(cot A cot B cot C) is e...

    Text Solution

    |

  10. In Delta ABC, if a=2, b=3 and sin A =(2)/(3). Then, cos C is equal to

    Text Solution

    |

  11. If 4 sin^(-1) x + cos^(-1) x= pi, then x is equal to

    Text Solution

    |

  12. If tan theta =(1)/(2) and tan phi =(1)/(3), then the value of theta + ...

    Text Solution

    |

  13. If sin theta =(1)/(2) and tan theta =(1)/(sqrt(3)), AA n in l, then mo...

    Text Solution

    |

  14. The function sin x + cos x is maximum, when x is equal to

    Text Solution

    |

  15. Principal value of sin^(-1). (-(sqrt(3))/(2))is

    Text Solution

    |

  16. If angles A,B and C are in AP, then (a+c)/(b) is equal to

    Text Solution

    |

  17. (1+cos.(pi)/(8))(1+cos.(3pi)/(8))(1+cos.(5pi)/(8))(1+cos.(7pi)/(8)) is...

    Text Solution

    |

  18. The solution of the equation sectheta-cosectheta=(4)/(3) is

    Text Solution

    |

  19. What is the minimum value of 9 tan ^(2) theta + 4 cot ^(2) theta ?

    Text Solution

    |

  20. If a le sin^(-1) x+cos^(-1)x+tan^(-1) x le b, then

    Text Solution

    |

  21. If sin^(-1)x+sin^(-1) y=(2pi)/3 and cos^(-1)x-cos^(-1) y= pi/3 ," then...

    Text Solution

    |