The angle of elevation of the top of an unfinished tower at a point distant
120 m from its base is
45°. If the elevation of the top at the same point is to be
60°, the tower must be raised to a height :
Options
A. 120 ( ?3 + 1 ) m
B. 120 ( ?3 - 1 ) m
C. 10 ( ?3 + 1 )
D. None of these
Correct Answer
120 ( ?3 - 1 ) m
Explanation
Height and Distance problems
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1.
A person standing on the bank of a river observes that the angle subtended by a tree on the opposite bank is
60°. When he retires
40 m from the bank, he finds the angle to be
30°. The breadth of the river is :
From the top of a
25 m high, cliff the angle of elevation of a tower is found to be equal to the angle of depression of the foot of the tower. Find out the height of the tower.
The height of a tower is
100 m. When the angle of elevation of the sun changes from
30° to 45°, the shadow of the tower becomes
P meter smaller. The value of
P is :
The angle of elevation of the top of a tower at a point
G on the ground is
30°. On walking
20 m towards the tower, the angle of elevation becomes
60°. The height of the tower is equal to :
From a point
P on a level ground, the angle of elevation of the top of the tower is
30°. If the tower is
100 m high, the distance of the point
P from the foot of the tower is :
A tower standing on a horizontal plane subtends a certain angle at a point
160 m apart from the foot of the tower. On advancing
100 m towards it, the tower is found to subtend an angle
twice as before. The height of the tower is :
A man from the top of a
100 m high tower sees a car moving towards the tower at an angle of depression of
30°. After some time, the angle of depression becomes
60°. The distance (in m) traveled by the car during this time is :