Multiple Choice QuestionsTwo persons are on either side of a temple, 75 m high, observe the angle of elevation of the top of the temple to be 30° and 60° respectively. The distance between the persons is
173.2 m
100 m
157.7 m
273.2 m
A 1.6 m tall observer is 45 m away from a tower. The angle of elevation from his eye to the top of the tower is 30°, then the height of the tower (in m) is:
25.98
26.58
27.58
27.98
If the elevation of the Sun changes from 30° to 60°, then the difference between the lengths of shadows of a pole 15 m high, is
7.5 m
15 m
10√3 m
5√3 m
When the angle of elevation of the sun increases from 30° to 60°, the shadow of a post is diminished by 5 m. Then, the height of the post is
5√3 / 2 m
2√3 / 5 m
2 / 5√3 m
4 / 5√3 m
From the top of a cliff 90 m high, the angles of depression of the top and bottom of a tower are observed to be 30° and 60° respectively. The height of the tower is
60 m
75 m
30 m
45 m
A vertical stick 12 cm long casts a shadow 8 cm long on the ground. At the same time, a tower casts a shadow 40 m long on the ground. The height of the tower is
60 m
65 m
70 m
72 m
The tops of two poles of height 24 m and 36 m are connected by wire. If the wire makes an angle of 60° with the horizontal, then the length of the wire is
8√3 m
8 m
6√3 m
6 m
A man standing in one corner of a square football field observes that the angle subtend by a pole in the corner just diagonally opposite to this corner is 60°. When he retires 80 m from the corner, along the same straight line, he finds the angle to be 30°. The length of the field is
20 m
40√2 m
40 m
20√2 m
Two poles of height 7 m and 12 m stand on a plane ground. If the distance between their feet is 12 m, the distance between their top will be
13 m
19 m
15 m
17 m
...(i)
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