41.

Two 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

From the top of a building 60 m high, the angle of depression of the top and bottom of a tower are observed to be 30° and 60°. The height of the tower (in metre) is:

• 40

• 45

• 50

• 55

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