Directions: Two pillars P1 and P2 of equal heights stand on either side of a road which is 100 m wide. At a point on the road between the pillars, the angles of elevation of the tops of the pillars P1 and P2 are 60° and 30° respectively. Based on this information, answer the following questions: 30\. The height of each pillar is: (a) 25 m (b) 36 m (c) m (d) m 31\. The location of the point of observation is: (a) 25 m from P1 (b) 25 m from P2 (c) m from P1 (d) m from P2 32\. If a hook is fixed at the point of observation and strings are tied from the hook to the tops of both the towers, then the total length of string required is: (a) 43.3 m (b) 86.6 m (c) 68.3 m (d) 136.6 m 33\. If a flagstaff is to be erected atop pillar P2 such that the angle of elevation of its top from the point of observation is 45°, then the height of the flagstaff must be: (a) m (b) 50 m (c) m (d) m

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2 such that the angle of elevation of its top from the point of observation is 45°, then the height of the flagstaff must be: Volume And Surface Area of solid RSA Mathematics Solutions ICSE Class 10." > 30\. Let AP1 and BP2 be two pillars of height h. Let the point of observation be O at distance x from P1. In triangle OAP1, In triangle OBP2, Hence, option (c) is the correct option. 31\. In triangle OAP1, Hence, option (a) is the correct option. 32\. Let the length of strings be L1 and L2. In triangle OAP1, In triangle OBP2, Total length = 50 + 86.6 = 136.6 m Hence, option (d) is the correct option. 33\. Let H be the height of flagstaff added to P2 Total distance - Distance to P1 = Distance to P2 Distance to P2 = 100 - 25 = 75 m. Therefore, Hence, option (c) is the correct option.

Mathematics

Heights & Distances

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Mathematics

Heights & Distances

Related Questions

The angle of elevation of an aeroplane from a point on the ground is 45°. After 15 seconds of flight, the elevation changes to 30°. If the aeroplane is flying at a height of 3000 m, the speed of the plane in km per hour is:152.16263.5304.32527

The angle of elevation of an aeroplane from a point on the ground is 45°. After 15 seconds of flight, the elevation changes to 30°. If the aeroplane is flying at a height of 3000 m, the speed of the plane in km per hour is:
152.16
263.5
304.32
527