A. 149 m
B. 156 m
C. 173 m
D. 200 m
Let AB be the tower. Then, ∠APB = 30° and AB = 100 m, AB/AP = tan 30° = 1/√3 AP = (AB X √3)= 100√3 m. = (100 X 1.73) m = 173 m.
Related Mcqs:
- The top of a 15 metre high tower makes an angle of elevation of 60° with the bottom of an electric pole and angle of elevation of 30° with the top of the pole. What is the height of the electric pole ?
A. 5 metres
B. 8 metres
C. 10 metres
D. 12 metres - Two ships are sailing in the sea on the two sides of a lighthouse. The angles of elevation of the top of the lighthouse as observed from the two 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
C. 273 m
D. 300 m - A Man travelled a distance of 61 km in 9 hours. He travelled partly on foot at 4 km/hr and partly on bicycle at 9 km/hr. What is the distance travelled on foot?
A. 12 km
B. 14 km
C. 16 km
D. 18 km - 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 - If the height of a pole is 2√3 metres and the length of its shadow is 2 metres, find the angle of elevation of the sun.
A. 50°
B. 60°
C. 70°
D. 80° - The angle of elevation of the sun, when the length of the shadow of a tree is √3 times the height of the tree, is :________?
A. 30°
B. 45°
C. 60°
D. 90° - Taimoor left for his school at 6 am by foot and walked at the rate of 2 kmph. After reaching his school he found it was closed and immediately turned back and started walking back to his home at 3 kmph. If he reached his home at 9 am, find the distance between his school and his home.
A. 2.5 km
B. 7.2 km
C. 7 km
D. 3.6 km - An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 5/3 hours, it must travel at a speed of:_________?
A. 660 km/hr
B. 680 km/hr
C. 700 km/hr
D. 720 km/hr - The length and breadth of play ground are 36 m and 21 m respectively. Flag staffs are required to be fixed on all along the boundary at a distance of 3 m part. The number of flag staffs will be___________?
A. 37
B. 38
C. 39
D. 40 - A journey of 750 km was covered partly by car(x km) and partly by train(y km). If the distance travelled by train was 150 km more than the distance travelled by car, find x:y.
A. 2:3
B. 3:2
C. 3:4
D. 4:3
