Home
Class 10
MATHS
In a right triangle, if the measure of a...

In a right triangle, if the measure of an acute angle is `30^(@)`, the side opposite to that angle is half the hypotenuse.

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Topper's Solved these Questions

  • SOME AAPLICATIONS OF TRIGONOMETRY

    KUMAR PRAKASHAN|Exercise Practice Thoroughly|7 Videos

  • REAL NUMBERS

    KUMAR PRAKASHAN|Exercise TEST YOUR SKILLS|26 Videos

  • STATISTICS

    KUMAR PRAKASHAN|Exercise Objective Questions (True or false)|5 Videos

Similar Questions

Explore conceptually related problems

If the measure of an angle is 62^(@) , what is the measure of its complementary angle?

In a right triangle with legs a and b and hypotenuse c, angles A,B and C are opposite to the sides a,b and c respectively, then e^(lnb-lna) is equal to-

The hypotenuse of a right triangle is 6m more than twice of the shortest side. If the third side is 2 m., less than the hypotenuse, find the sides of the triangle

If angle A and angle P are acute angles such that sin A =sin P then prove that angle A =angle P

In a right angled triangle, the length of the hypotenuse is 15 cm and one of the sides forming right angle is 9 cm. Then, the semiperimeter of the triangle is …………..cm.

Two maiden are drawn from the verticies of an acute angles of the isosceless right angled triangle then angle between them is ..........

In a right angles triangle, prove that r+2R=s.

A point on the hypotenuse of a triangle is at distance a and b from the side of the triangle. Show that the minimum length of the hypotenuse is (a^((2)/(3))+b^((2)/(3)))^((3)/(2)) .

The ratio of the measures of the sides of a triangle is 3 : 4 : 5. If the semiperimeter of the triangle is 36 cm, the measure of the longest side of the triangle is …………..cm.

Show that in a right angled triangle, the hypotenuse is the longest side.

KUMAR PRAKASHAN-SOME AAPLICATIONS OF TRIGONOMETRY-Objective Questions
  1. The height of a tower is 200m. When the altitude of the Sun is 30^(@),...

    Text Solution

    |

  2. The angle of elevation of the top of a 15m high tower from a point 15m...

    Text Solution

    |

  3. The angle of depression of a boat from a 50m high bridge is 30^(@). Th...

    Text Solution

    |

  4. The angle of elevation of a bird sitting on top of a tree as seen from...

    Text Solution

    |

  5. The length of the shadow of a 10m high tree is ……..m when the angle of...

    Text Solution

    |

  6. The top of two poles of height 16m and 10m are connected by a wire. If...

    Text Solution

    |

  7. The angle of elevation of the top of a tower from a point P on the gro...

    Text Solution

    |

  8. A 1.8m tall girl stands at a distance of 4.6m from a lamp post and cas...

    Text Solution

    |

  9. The angle of elevation of the top of a tower at a distance 500m from t...

    Text Solution

    |

  10. A tower stands on a horizontal plane. The shadow of the tower when the...

    Text Solution

    |

  11. The angle of elevation of the top of a tower from a point 30m away fro...

    Text Solution

    |

  12. The height of a tower is 10m. What is the length of its shadow when th...

    Text Solution

    |

  13. An observer, 1.5m tall, is 28.5m away from a 30m high tower. Determine...

    Text Solution

    |

  14. An observer 1.7m tall, is 20 sqrt3m away from a tower. The angle of el...

    Text Solution

    |

  15. The angle of elevation of the top of an adjustable pole from a point o...

    Text Solution

    |

  16. The two towers of heights x and y, standing on level ground, subtend a...

    Text Solution

    |

  17. When the Sun's altitude is 45^(@), the height of a tower and the lengt...

    Text Solution

    |

  18. In a right triangle, if the measure of an acute angle is 30^(@), the s...

    Text Solution

    |

  19. A 10m long ladder leaning on a wall reaches the height of 5m on the wa...

    Text Solution

    |

  20. Walking 20m on a slope of inclination 30^(@) with the level ground, on...

    Text Solution

    |