Match the Following

When an observer sees an object situated in upward direction, the angle formed by line of sight with horizontal line |
Line of Sight |

When an observer sees an object situated in downward direction the angle formed by line of sight with horizontal line |
Angle of elevation |

Line segment joining the object to the eye of the observer |
Angle of Depression |

Match the Following

The tops of two poles of height of height 16m and 10 m connected by a wire of length of length L meters.The wire makes an angle of 30^{0},the value of L is |
20/√3 m |

A ladder 50m long just reaches the top of a vertical wall. If the ladder makes an angle of 60^{0} with the wall, the height of the wall. |
2.5 m |

From a point 20m away from the foot of a tower, the angle of elevation of top of the tower is 30°, the height of the tower is |
25 m |

The length of Shadow of a tower on the plane ground is √3 times the height of the tower. The angle of the elevation of the sun is

(a) 30

(b) 45

(c) 60

(d) 40

From a window (9m above ground) of a house in a street, the angles of elevation and depression of the top and foot of another house on the opposite side of the street are 30

(a) 12m,√ m

(b) 12m,3√ 3 m

(c) 6m,3√ m

(d) 12m,3√ m

A vertical tower stands on a horizontal plane and is surmounted by a vertical flag staff of height h m. At a point on the plane , the angles of elevation of the bottom and the top of the flag staff are α and β respectively. Tt=he height of the tower is

(a) $ \frac {h tan \alpha}{tan \beta - tan \alpha}$

(b) $ \frac {h tan \alpha}{tan \alpha -tan \beta}$

(c) $ \frac {h tan \beta}{tan \alpha -tan \beta}$

(d) $ \frac {h tan \beta}{tan \alpha + tan \beta}$

A pole 6 m high casts a shadow $2 \sqrt{3}$ m long on the ground, then the Sun's elevation is

(a) 30°

(b) 90°

(c) 45°

(d) 60°

If the length of the shadow of a tower is increasing, then the angle of elevation of the sun is ?

(a) increasing

(b) decreasing

(c) Remains same

(d) Can't say

The height of a tower and the distance of the point of observation from its foot, both, are increased by 20%. The angle of elevation of its top will (a) increasing

(b) decreasing

(c) Remains same

(d) Can't say

An observer 1.2 m tall is 48.8 m away from a chimney. The angle of elevation of the top of the chimney from her eyes is 45°. The height of the chimney is (a) 50 m (b) 48.8 m (c) 51 m (d) 52 m

A ladder 15 metres long just reaches the top of a vertical wall. If the ladder makes an angle of 60° with the wall. The height of the wall is (a) 7.5 √ 3 m (b) 7.5 m (c) 30 √ 3 m (d) None of these

When an observer sees an object situated in upward direction, the angle formed by line of sight with horizontal line |
Angle of elevation |

When an observer sees an object situated in downward direction the angle formed by line of sight with horizontal line |
Angle of Depression |

Line segment joining the object to the eye of the observer |
Line of Sight |

The tops of two poles of height of height 16m and 10 m connected by a wire of length of length L meters.The wire makes an angle of 30^{0},the value of L is |
2.5 m |

A ladder 50m long just reaches the top of a vertical wall. If the ladder makes an angle of 60^{0} with the wall, the height of the wall. |
25 m |

From a point 20m away from the foot of a tower, the angle of elevation of top of the tower is 30°, the height of the tower is |
20/√3 m |

(3) (a)

(4) (b)

(5) (a)

(6) (d)

(7) (b)

(8) (c)

(9) (a)

(10) (b)

Download Application of Trigonometry Worksheet as pdf

**NCERT Solutions**-
**Assignments**

Class 10 Maths Class 10 Science