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 ?

Related Mcqs:

1. From a point P on a level ground, the angle of elevation of the top of a tower is 30°. If the tower is 100 m high, the distance of point P from the foot of the tower is :_________?

   A. 149 m
   B. 156 m
   C. 173 m
   D. 200 m

2. 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°

3. There are 21 poles with a constant distance between each pole. A car takes 30 seconds to reach the 16th pole. How long does it take to reach the last pole?

   A. 39 seconds
   B. 40 seconds
   C. 39.38 seconds
   D. 39.5 seconds

4. 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°

5. The average height of 35 boys in a class was calculated as 180cm. It has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm. Find the actual average height of the boys in the class (Round off your answer to two decimal places)?

   A. 179.29 cm
   B. 178.29 cm
   C. 179.38 cm
   D. 178.39 cm

6. The average height of 50 pupils in a class is 150 cm. Five of them whose height is 146 cm, leave the class and five others whose average height is 156 cm, join. The new average height of the pupils of the class (in cm) is __________ .

   A. 149
   B. 151
   C. 152
   D. 153

7. 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

8. A trader sells 85 meters of cloth for Rs. 8925 at the profit of Rs. 15 per metre of cloth. What is the cost price of one metre of cloth?

   A. Rs. 80
   B. Rs. 85
   C. Rs. 90
   D. Rs. 95
   E. None of these

9. A shopkeeper sells 400 metres of cloth for Rs. 18000 at a loss of Rs.5 per metre. Find his cost price for one metre of cloth?

   A. Rs. 45
   B. Rs. 40
   C. Rs. 35
   D. Rs. 50
   E. None of these

10. 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