 # Class 10 Maths Worksheet for Application of Trigonometry

## Match the Column

Question 1.
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

Question 2.
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 300,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 600 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

## Multiple Choice Questions

Question 3
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) 300
(b) 450
(c) 600
(d) 400

Question 4
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 300 and 600 respectively. Find the height of the opposite house and width of the street.
(a) 12m,√ m
(b) 12m,3√ 3 m
(c) 6m,3√ m
(d) 12m,3√ m
Question 5
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) $\frac {h tan \beta}{tan \alpha + tan \beta}$

Question 6
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°

Question 7
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
Question 8
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
Question 9
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 Question 10
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

(1)
 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

(2)
 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 300,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 600 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)

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### Practice Question

Question 1 What is $1 - \sqrt {3}$ ?
A) Non terminating repeating
B) Non terminating non repeating
C) Terminating
D) None of the above
Question 2 The volume of the largest right circular cone that can be cut out from a cube of edge 4.2 cm is?
A) 19.4 cm3
B) 12 cm3
C) 78.6 cm3
D) 58.2 cm3
Question 3 The sum of the first three terms of an AP is 33. If the product of the first and the third term exceeds the second term by 29, the AP is ?
A) 2 ,21,11
B) 1,10,19
C) -1 ,8,17
D) 2 ,11,20