Home
Class 12
MATHS
An isosceles triangle of wood is placed ...

An isosceles triangle of wood is placed in a vertical plane, vertex upwards, and faces the sun. If 2a be the base of the triangle, h its height and `30^@` the altitude of sun, then the tangent of the angle at the apex of the shadow is

A

`(2ahsqrt(3))/(h^(2)-3a^(2))`

B

`(2ahsqrt(3))/(3h^(2)-a^(2))`

C

`(2hsqrt(3))/sqrt(3h^(2) + a^(2))`

D

`a/sqrt(3h^(2) +a^(2))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • HEIGHTS & DISTANCE

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-II|20 Videos

  • HEIGHTS & DISTANCE

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (SUBJECTIVE)|11 Videos

  • FUNCTION

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

  • HYPERBOLA

    FIITJEE|Exercise NUMERICAL BASED|4 Videos

Similar Questions

Explore conceptually related problems

An isosceles triangle of wood of base 2a and height h is placed with its base on the ground vertex directly above . The triangle faces the sun whose altitude is 30^(@) . Then the tangent of the angle at the apex of the shadow is

An isosceles triangle made of wood of base 10 feet and height 8 feet is placed vertically with its base on the ground and vertex directly above it. If the triangle faces the sun whose altitude is 30^(@) , then the tangent of the angle at the apex of the shadow is

An isosceles triangle of wood of base 10 feet and height (8)/(sqrt3) feet is placed vertically with its base on the ground and vertex directly above. The triangle faces the sun whose altitude is 30^(@) . Then, the tangent of the angle at the apex of the shadow is

In an isosceles triangle,the base angles are equal.The vertex angle is thrice either base angle. What are the measures of the angles?

In an Isosceles triangle the base angles are equal and the vertex angle is twice of each base angle. Find the measures of the angles of the triangle.

If the area of an isosceles triangle is sqrt(2)+1 and vertical angle is 45^(@) then the base of the triangle is

The base of an isosceles triangle is 6 cm and each of its equal sides is 5 cm. The height of the triangle is

The base of an isosceles triangle is 48 cm and one of its equal sides is 30 cm. Find the area of the triangle

In an isosceles triangle,the base angles are equal.The vertex angle is twice of either base In an isosceles triangles of the triangle?

FIITJEE-HEIGHTS & DISTANCE -ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-I
  1. From a light-house L two ships P and Q are observed in direction south...

    Text Solution

    |

  2. A harbour lies in a direction 60^@ south - west from a fort and at a d...

    Text Solution

    |

  3. From the top of a lighthouse 60 meters high with its base at the sea l...

    Text Solution

    |

  4. An isosceles triangle of wood is placed in a vertical plane, vertex up...

    Text Solution

    |

  5. A flagstaff of length l is fixed on the top of a tower of height h. Th...

    Text Solution

    |

  6. A pole of height h stands at one corner of a park of the shape of an e...

    Text Solution

    |

  7. A pole 25 meters long stands on the top of a tower 225 meters high. It...

    Text Solution

    |

  8. Each side of a square substends an angle of 60^@ at the top of a towe...

    Text Solution

    |

  9. A person standing on the ground observes the angle of elevation of th...

    Text Solution

    |

  10. The angle of elevation of the top of a tower from the top and bottom o...

    Text Solution

    |

  11. If a flag staff subtends the same angles at the points A,B,C and D on ...

    Text Solution

    |

  12. A pole of 50 meter high stands on a building 250 m high. To an observe...

    Text Solution

    |

  13. The electric pole subtends an angle of 30^(@) at a point on the same l...

    Text Solution

    |

  14. A person walking along a straight road observes that a two points 1 km...

    Text Solution

    |

  15. A man standing on a level plane observes theanlge of elevation of top ...

    Text Solution

    |

  16. Two pillars of height a and b subtend the same angle alpha at a point ...

    Text Solution

    |

  17. From the top of aspier the angle of depression of the top and bottom o...

    Text Solution

    |

  18. ABC is a triangular park in the form of an equilateral triangle. A pil...

    Text Solution

    |

  19. A chimeny of 20 m height standing on the top of a building subtends an...

    Text Solution

    |

  20. A flag leaning to wards the east is inclined at an angle theta to the ...

    Text Solution

    |