Height and Distance - General Questions

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 30° and 45° respectively. If the lighthouse is 100 m high, the distance between the two ships is:
	A. 173 m B. 200 m C. 273 m D. 300 m Answer: Option C

2. A man standing at a point P is watching the top of a tower, which makes an angle of elevation of 30° 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°. What is the distance between the base of the tower and the point P? A. 43 units B. 8 units C. 12 units D. Data inadequate E. None of these Answer: Option D   3. 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: A. 2.3 m B. 4.6 m C. 7.8 m D. 9.2 m Answer: Option D     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 30°. The height of the tower is: A. 21.6 m B. 23.2 m C. 24.72 m D. None of these Answer: Option A       5. From a point P on a level ground, the angle of elevation of the top tower is 30°. If the tower is 100 m high, the distance of point P from the foot of the tower is: A. 149 m B. 156 m C. 173 m D. 200 m Answer: Option C     6. The angle of elevation of the sun, when the length of the shadow of a tree 3 times the height of the tree, is: A. 30° B. 45° C. 60° D. 90° Answer: Option A

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