A tower subtends an angle of 30� at a point on the same level as the foot of the

CuriousTab

CuriousTab

Home Aptitude

Discussion

Home ‣ Aptitude ‣ Height and Distance Comments

Question
A tower subtends an angle of 30� at a point on the same level as the foot of the tower. At a second point, h m above the first, the depression of the foot of the tower is 60�. The horizontal distance of the tower from the point is :
Options
A. h cot 60�
B. h cot 30�
C. h cot 60� 2
D. h cot 30� 2

Correct Answer

h cot 60�

Explanation

Height and Distance problems

Search Results

1.
At a point, 15 m away from the base of a 15 m high house, the angle of elevation of the top is :
Options
A. 45�
B. 30�
C. 60�
D. 90�

2.
When the length of the shadow of a pole is equal to the height of the pole, then the elevation of source of light is :
Options
A. 30�
B. 45�
C. 60�
D. 75�

3.
A 20 m high electric pole stands upright on the ground with the help of steel wire to its top and affixed on the ground. If the steel wire makes 60� with the horizontal ground, then find out the length of the steel wire.
Options
A. 40/ ?3 m
B. 40 ?3 m
C. 20/ ?3m
D. 20 ?3m

4.
The shadow of a tower standing on a level plane is found to be 50 m longer when the sun's altitude is 30� than when it is 60�. Find the height of the tower.
Options
A. 20 ?3 m
B. 25/ ?3 m
C. 25 ?3 m
D. 20 ?3 m

5.
A pole being broken by the wind, the top struck the ground at an angle of 30� and at a distance of 21 m from the foot of the pole. Find out the total height of the pole.
Options
A. 21 m
B. 21 ?3 m
C. 21/ ?3
D. None of these

6.
The angle of elevation of the sun when the length of the shadow of a pole is ?3 times the height of the pole will be :
Options
A. 30�
B. 60�
C. 90�
D. 45�

7.
The tops of two poles of height 20 m and 14 m are connected by a wire. If the wire makes an angle 30� with the horizontal, then the length of the wire is :
Options
A. 12 m
B. 10 m
C. 8 m
D. None of these

8.
The top of a 15 m high tower makes an angle of elevation of 60� with the bottom of an electric pole and an angle of elevation of 30� with the top of the pole. What is the height of the electric pole?
Options
A. 5 m
B. 8 m
C. 10 m
D. 12 m

9.
From a 15 m high bridge on the river, the angle of depression of a boat is 30�. If the speed of the boat be 6 Km/h, then the time taken by the boat to reach exactly below the bridge will be :
Options
A. 9 ?3 second
B. 19 / ?3 second
C. 3 ?3 second
D. None of these

10.
The angle of elevation of a tower from a distance 50 m from its foot is 30�. The height of the tower is :
Options
A. 50 ?3 m
B. 50 m ?3
C. 75 ?3 m
D. 75 m ?3

Comments

More in Aptitude: