Height And Distance

Question: 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…

Question: 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…

Question: 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 Explanation: Let AB be the observer…

Question: 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 Explanation: Let AB be the wall and…

Question: 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 Explanation: Let…

Question: 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 Explanation: Let AB be the tree and AC be its shadow. Let ACB = . Then, AC = 3…