vjtha Heights & Distance

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1. Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the
top of the lighthouse is observed from the ships are 30o and 45o respectively. If the lighthouse is
100 m high, the distance between the two ships is:

1.253 m

2.263 m

3.273 m

4.283 m

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2. A man standing at a point P is watching the top of a tower, which makes an angle of elevation
of 30^o with the man's eye. The man walks some distance towards the tower to watch its top
and the angle of the elevation becomes 60^o. What is the distance between the base of the tower
and the point P?

1.1/2

2.1

3.0

4.Data Inadequate

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3. The angle of elevation of a ladder leaning against a wall is 60o and the foot of the ladder is 4.6
m away from the wall. The length of the ladder is:

1.2.3 m

2.4.6 m

3.6.9 m

4. 9.2 m

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4. An observer 1.6 m tall is 203 away from a tower. The angle of elevation from his eye to the top
of the tower is 30o. The heights of the tower is:

1.21.6 m

2.10.3 m

3.15.4 m

4.28.7 m

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5. From a point P on a level ground, the angle of elevation of the top tower is 30o. If the tower is
100 m high, the distance of point P from the foot of the tower is:

1.153 m

2.163 m

3.173 m

4.183 m

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