Question

1. A tree 6 m tall casts a 4 m long shadow. At the same time , a flag casts a shadow 50 m long. The

height of the tree is :

A) 40 m B) 20 m C) 15 m D) 10 m ( )

2 If two towers of height h1& h2 subtend angles of 60 & 30 respectively at the mid-point of the line

joining heir feet, then h1:h2 is :

A) 3 : 1 B) : 1 C) 1 : D) 1 : 3 ( )

3 A pole 6 m high casts a shadow 2 m long on the ground ,then the sun’s elevation is

A) 60 B) 45 C) 30 D) 90 ( )

4 If the altitude of the sun is 60 . the height of a tower which casts a shadow of length is

A) 30 m B) 15 m C) m D) 15 m ( )

5 A tower stands vertically on the ground. From a point on the ground 25 m away from the foot of

the tower, the angle of elevation of the top of the tower is found to be 45 Height of the tower is

A) 25 m B) 25 m C) 25m D) 12.5m ( )

6 At some time of the day, the length of the shadow of a tower is equal to its height .Then the sun’s

altitude at that time is

A) 30 B) 60 C) 90 D) 45 ( )

7 A bridge in the shape of a straight path ,across a river makes an angle of 60 with the width of the

river .If the length of bridge is 100 meters ,then the width of the river is

A) 50 m B) 173.2 m C) 43.3 m D) 100 m ( )

8 A ladder 10 m long touches a wall of height 5m.The angle made by the ladder with horizontal is

A) 30 B) 90 C) 45 D) 50 ( )

9

The tops of the two poles of height 16 m & 10 m are connected by a wire. If the wire makes an

angle of 30 with the horizontal then the length of the wire is

A) 26 m B) 10 m C) 12 m D) 16 m ( )

10 From a point on the ground ,which is 15 m away from the foot of a vertical tower ,the angle of

elevation of the top of the tower is found to be 60 .The height of the tower(in meters) is

A) 5 B) 15 C) 1.5 D) 7.5 ( )

11 The measure of angle of elevation of top of tower 75 m height from a point at a distance of 75m

from the foot of the tower in a horizontal plane is

A) 30 B) 60 C) 90 D) 45 ( )

12 If the angles of elevation of the top of a tower from two points at a distance of 4 m & 9 m from the

base of the tower & in the same straight line with it are complementary . height of the tower is

A) 10 m B) 6 m C) 8 m D) 1 m ( )

13 If the angle of depression of an object from a 75 m high tower is 30 .then the distance of the object

from the base of tower is:

A)25 m B) 50 m C)75 m D) 150 m ( )

14 When a point is observed ,the angle formed by the line of sight with the horizontal level where the

point being viewed is above the horizontal plane is known as:

A) angle of triangle B) angle of depression C) angle of elevation D) none of these ( )

15 When the length of the shadow of a pillar is equal to its height ,the elevation at source of sight is

A) 30 B) 45 C) 60 D) 90 ​

Answer 1

Answer:

1. 10 m....
2. 3:1....
3. 30 m.....
4. 30 m.....
5. 25.5m....
6. 60m....
7. 50m....
8. 45m....
9. 26m....
10. 7.5m....
11. 90. ....
12. 10m...
13. 150m....
14. angal of the dipration and angal eqvestion.
15. 90m..