Home
Class 11
MATHS
A tree stands vertically on the slant of...

A tree stands vertically on the slant of the hills From a point A on the ground 35 meters. Down the hill from the base of the tree , the angle of elevation of the top of the tree is `60 ^(@) `. If the angle of elevation of the foot of the tree A is `15 ^(@) ,` then the height of the tree.

Text Solution

Verified by Experts

The correct Answer is:
`35 sqrt(2)` m
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise TEXTUAL EXERCISES ( EXERCISE - 10(b) ) I.|5 Videos

  • PROPERTIES OF TRIANGLES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise TEXTUAL EXERCISES ( EXERCISE - 10(b) ) II.|6 Videos

  • PROPERTIES OF TRIANGLES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise TEXTUAL EXERCISES ( EXERCISE - 10(a) ) II.|14 Videos

  • PRODUCT OF VECTORS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise SOLVED PROBLEMS|46 Videos

  • STRAIGHT LINE

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise TEXTUAL EXERCISES (EXERCISE-3(e)) |32 Videos

Similar Questions

Explore conceptually related problems

From the top of a chiff 30 metres high, the angle of elevation of the top of a tower is found to be equal to the angle of depression of the foot of the tower. The height of the tower is

The angle of elevation of top of a tree is 30^(@) . On moving 20m nearer, the angle of elevation is 60^(@) . The height of the tree is

A statue stands on the top of a 2m tall pedestal. From a point on the ground, the angle of elevation of the top of the statue is 60^(@) and from the same point the angle of elevation of the top of the pedstal is 45^(@) . Find the height of the statue.

A tower stands vertically on the ground. From a point which is 15 meter away from the foot of the tower, the angle of elevation of the top of the tower is 45^(@) . What is the height of the tower?

From the top of a 10 m height tree the angle of depression of a point on the ground is 30^@ then the distance of the point from the foot of the tree is

From the top of a building 60 m high the angle of elevation of the top of a tower is found to be angle of depression of the foot of the tower. The height of the tower in meter is

From a point on the level ground , the angel of elevation of the top of a pole is 30^(@) . On moving 20 meters nearer, the angle of elevation is 45^(@) . Then the height of the pole, in meters, is

From a point on the level ground, the angle of elevation of the top of a pole is 30^@ . On moving 20 metres nearer, the angle of elevation is 45^@ . Then the height of the pole, in metres , is

If the angle of elevation of Sun is 45^(@) , then the length of the shadow of a 12 m hihgh tree is……….

VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-PROPERTIES OF TRIANGLES-TEXTUAL EXERCISES ( EXERCISE - 10(a) ) III.
  1. In Delta ABC, sum (a+b) tan ((A-B)/2)=

    Text Solution

    |

  2. b-c // b+c cot A/2 + b+c // b-c tan A/2 = 2 cosec (B-C)అని చూపండి.

    Text Solution

    |

  3. If sin theta = a/(b+c) then show that cos theta = (2sqrt(bc))/(b+c) co...

    Text Solution

    |

  4. If a=(b+c)costheta, " then prove that" sintheta=(2sqrt(bc))/(b+c)cos((...

    Text Solution

    |

  5. In Delta ABC, b cos (C+ theta)+c cos (B- theta)=

    Text Solution

    |

  6. If the angles of triangles ABC are in A.P. and b: c= sqrt3 : sqrt2 "...

    Text Solution

    |

  7. If (a^(2)+b^(2))/(a^(2)-b^(2))=(sinC)/(sin(A-B)) , then S.T . DeltaAB...

    Text Solution

    |

  8. In Delta ABC, if cos A+cos B+ cos C=3//2, then the triangle is

    Text Solution

    |

  9. If cos ^(2) A + cos ^(2) B = cos ^(2) C = 1 then show that Delta A...

    Text Solution

    |

  10. In a /\ABC if a^(2)+b^(2)+c^(2)=8R^(2) then show that/\ABC is a right ...

    Text Solution

    |

  11. In Delta ABC , if cot "" (A)/(2) , cot "" ( B)/(2) , cot "" (C )/(2...

    Text Solution

    |

  12. If sin^(2).(A)/(2)+sin^(2).(B)/(2)+sin^(2).(C)/(2) are in H.P , show t...

    Text Solution

    |

  13. C=90^(0) అయితే, (a^(2) + b^(2) // a^(2) - b^(2)) sin (A- B) =1 అని నిర...

    Text Solution

    |

  14. a^(2) sin 2C + c ^(2) sin 2A =

    Text Solution

    |

  15. A lamp post is sittuated at the middle point M of the side AC of a tri...

    Text Solution

    |

  16. Two ships leave a port at the same time . One goes 24km per hour in th...

    Text Solution

    |

  17. A tree stands vertically on the slant of the hills From a point A on t...

    Text Solution

    |

  18. The upper 3//4^(th) portion of a vertical pole subtends an angle "Tan"...

    Text Solution

    |

  19. AB is vertical pole with B at ground level and A at the top. A man fi...

    Text Solution

    |

  20. Let an object be placed at some height h cm and let P and Q two points...

    Text Solution

    |