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The height of a tower is 300 meters. When its top is seen from top of another tower,then the angle of depression is 60°. The horizontal distance between thebases of the two towers is 120 metres. What is the height (in metres) of the small tower?
A
88.24
B
106.71
C
92.15
D
112.64
Correct Answer:
92.15
Pearl Towers is taller than Sky Towers but shorter than Unity Towers. Unity Towers and Cyber Towers are of same height. Pearl Towers is shorter thanIndus Towers. Amongst the buildings, who is the second shortest?
A
Pearl Tower
B
Sky Tower
C
Indus Tower
D
Unity Tower
A man is watching from the top of tower a boat speeding away from the tower. The boat makes an angle of depression of 45° with the man’s eye when at a distance of 60 meters from the tower. After 5 seconds, the angle of depression becomes 30°. What is the approximate speed of the boat, assuming that it is running in still water?
A
32 kmph
B
36 kmph
C
38 kmph
D
40 kmph
E
42 kmph
A man is watching from the top of a tower a boat speeding away from the tower. The boat makes an angle of depression of 45° with the man's eye when at a distance of 100 metres from the tower. After 10 seconds, the angle of depression becomes 30°. What is the approximate speed of the boat, assuming that it is running in still water?
A
26.28 km/hr
B
32.42 km/hr
C
24.22 km/hr
D
31.25 km/hr
A person, standing exactly midway between two towers, observes the top of the two towers at angle of elevation of 22.5° and 67.5°. What is the ratio of the height of the taller tower to the height of the shorter tower? (Given that tan 22.5° = $$\sqrt 2 - 1$$ )
A
$$1 - 2\sqrt 2 :1$$
B
$$1 + 2\sqrt 2 :1$$
C
$$3 + 2\sqrt 2 :1$$
D
$$3 - 2\sqrt 2 :1$$
Consider a regular hexagon ABCDEF. Two towers are situated at B and C. The angle of elevation from A to the top of the tower at B is 30 deg, and the angle of elevation to the top of the tower at C is 45 deg. What is the ratio of the height of towers at B and C?
A
1:\u221a3
B
1:3
C
1:2
D
1:2\u221a3
From a point P, the angle of elevation of a tower is such that its tangent is 3/4. On walking 560 metres towards the tower the tangent of the angle ofelevation of the tower becomes 4/3. What is the height (in metres) of the tower?
A
720
B
960
C
840
D
1030
The angle of elevation of the top of a tower from a point A on the ground is 30°. On moving a distance of 20 metres towards the foot of the tower to apoint B, the angle of elevation increases to 60°. The height of the tower in meters is
A
\u221a3
B
5\u221a3
C
10\u221a3
D
20\u221a3
A tower stands on the top of a building which is 40 metres high. The angle of depression of a point situated on the ground from the top and bottom of thetower are found to be 60and 45 degrespectively. What is the height (in metres) of tower?
A
20\u221a3
B
30(\u221a3 + 1)
C
40(\u221a3 \u2013 1)
D
50(\u221a3 \u2013 1)
The angle of elevation of the top of a tower from a certain point is 30°. If the observed moves 20 m towards the tower, the angle of elevation the angle of elevation of top of the tower increases by 15°. The height of the tower is
A
17.3 m
B
21.9 m
C
27.3 m
D
30 m
A semi-circular disc rests on a horizontal surface with its top flat surface horizontal and circular portion touching down. The coefficient of friction between semi-cricular disc and horizontal surface is i. This disc is to be pulled by a horizontal force applied at one edge and it always remains horizontal. When the disc is about to start moving, its top horizontal force will
A
remain horizontal
B
slant up towards direction of pull
C
slant down towards direction of pull
D
unpredictable