From a point P on a level ground, the angle of elevation of the top of the tower

CuriousTab

CuriousTab

Home Aptitude

Discussion

Home ‣ Aptitude ‣ Height and Distance Comments

Question
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 :
Options
A. 100/ ?3 m
B. 100 ?3 m
C. 50?3 m
D. 50/?3 m

Correct Answer

100 ?3 m

Explanation

Height and Distance problems

Search Results

1.
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 :
Options
A. 10 m ?3
B. 20 ?3 m
C. 20 m ?3
D. 10 ?3 m

2.
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

3.
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 :
Options
A. 40 m
B. 60 m
C. 20 m
D. 30 m

4.
The angle of elevation of the top of a hill from each of the vertices A, B, C of a horizontal triangle is ?. The height of the hill is :
Options
A. b tan ? cosec B
B. a tan ? cosec A 2
C. c tan ? cosec C 2
D. None of these

5.
The angle of elevation of the top of a tower from a point 20 m away from its base is 45�. The height of the tower is :
Options
A. 10 m
B. 20 m
C. 40 m
D. 20 ?3 m

6.
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 :
Options
A. 80 m
B. 100 m
C. 160 m
D. 200 m

7.
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 :
Options
A. 100 ?3
B. 200 ?3 3
C. 100 ?3 3
D. 200 ?3

8.

sin A + sin A is ( 0� < A < 90� ) .

1 + cos A 1 - cos A
Options
A. 2 cosec A
B. 2 sec A
C. 2 sin A
D. 2 cos A

9.
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
Options
A. 2.3 m
B. 4.6 m
C. 7.8 m
D. 9.2 m

10.
From the top of h meter high cliff the angles of depression of the top and the button of a tower are observed to be 30� and 60� respectively. The height of the tower is?
Options
A. h?3
B. 2h?3
C. h/3
D. 2h/3

Comments

More in Aptitude: