Multiple Choice QuestionsThe angles of elevation of the top of a tower from two points at a distance of 4 m and 9 m from the base of the tower and in the same straight line with it are complementary. The height of the tower is:
4 m
7 m
9 m
6 m
A telegraph post is bent at a point above the ground. Its top just touches the ground at a distance of 8√3 from its foot and makes an angle of 30° with the horizontal. The height (in m) of the post is:
12
16
18
24
A boat is moving away from an observation tower. It makes an angle of depression of 60° with an observer's eye when at a distance of 50 m from the tower. After 8 sec, the angle of depression becomes 30°. By assuming that it is running in still water, the approximate speed of the boat is
33 km/hr
42 km/hr
45 km/hr
50 km/hr
The upper part of a tree broke at a certain height makes an angle of 60° with the ground at a distance of 10 m from its feet. The original height of the tree was
20√3 m
10√3 m
10(2 + √3) m
10(2 - √3) m
The angle of elevation of a ladder leaning against a wall is 60° and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is
2.3 m
4.6 m
9.2 m
7.8 m
From a point on a bridge across the river, the angles of depression of the banks on opposite sides of the river are 30° and 45° respectively. If the bridge is at a height of 2.5 m from the banks, then the width of the river is (take 
):
5.83 m
6.83 m
5.76 m
6.87 m
The length of shadow of a tower is √3 times that of its length. The angle of elevation of the sun is
45°
30°
60°
None of these
A tower is 50 m high. Its shadow is x metres shorter than the sun's altitude is 45° than when it is 30°. The value of x in metres is
50√3
50( √3 - 1 )
50( √3 + 1 )
50
From the top of a 20 m high building, the angle of elevation of the top of a tower is 60° and the angle of depression of it's foot is at 45°, then the height of the tower is 
45.46 m
45.64 m
54.64 m
54.46 m
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