Bissoy.com
Doctors Medicines MCQs Q&A

A flagstaff 17.5 m high casts a shadow of length 40.25 m. The height of the building, which casts a shadow of length 28.75 m under similar conditions will be:

A flagstaff 17.5 m high casts a shadow of length 40.25 m. The height of the building, which casts a shadow of length 28.75 m under similar conditions will be: Correct Answer 12.5 m

Let the height of the building x metres.
Less lengthy shadow, Less in the height (Direct Proportion)
$$\eqalign{ & \therefore 40.25:28.75::17.5:x \cr & \Rightarrow 40.25 \times x = 28.75 \times 17.5 \cr & \Rightarrow x = \frac{{28.75 \times 17.5}}{{40.25}} \cr & \Rightarrow x = 12.5 \cr} $$

Related Questions

A flagstaff is placed on top of a building. The flagstaff and building subtend equal angles at a point on level ground which is 200 m away from the foot of the building. If the height of the flagstaff is 50 m and the height of the building is h, which of the following is true?
A flagstaff 17.5 m high casts a shadow of length 40.25 m. What will be the height of a building, which casts a shadow of length 28.75 m under similar conditions ?  
A flagstaff 17.5 m high caste a shadow of length 40.25 m. The height of the building, which casts a shadow of length 28.75 m under similar conditions will be ?
A pole 25 m high casts a shadow of length 27.5 m. The height of the building, which casts a shadow of length 68.75 m under similar conditions will be:
Six buildings L. M, N, X, Y and Z are in a circle facing the centre. Each building is exactly opposite another one. Building X is not immediately next to either Building M or Building Z. Building M is to Building Y's immediate right/ Building N is exactly opposite Building M. Building L, which is opposite Building X, has Building Z to its immediate right. Which of the following buildings is located to Building Z's immediate right?
Six buildings ‘L’, ‘M’, ‘N’, ‘Y’ and ‘Z’ stand in a circle facing the centre. Each building is exactly opposite another one. Building ‘X’ is NOT immediately next to either building ‘M’ or ‘Z’. Building ‘M’ is to building Y’s immediate right. Building ‘N’ is exactly opposite building ‘M’. Building ‘L’, which is opposite building ‘X’, has building ‘Z’ to its immediate right. Which of the following buildings is located between building ‘L’ and ‘Y’?  
Six buildings L, M, N, X, Y, and Z stand in a circle facing the centre. Each building is exactly opposite another one. Building X is not immediately next to either building M or Z. Building M is to building Y’s immediate right. Building N is exactly opposite building M. Building L which is opposite building X, has building Z to its immediate right. Which of the following buildings is located to building Z’s immediate right?
Six buildings L, M, N, X, Y and Z stand in a circle facing the centre. Each building is exactly opposite another one. Building X is not immediately next to either building M or Z. Building M is to building Y’s immediate right. Building N is exactly opposite building M. Building L, which is opposite building X, has building Z to its immediate right. Which of the following buildings is located to building X’s immediate right?
A ladder 10m long reaches a point 10m below the top of a vertical flagstaff. From foot of the ladder, the elevation of top of the flagstaff is 60°. What is the height of flagstaff ?
A ladder 6 m long reaches a point 6 m below the top of a vertical flagstaff. From the foot of the ladder, the elevation of the top of the flagstaff is 75°. What is the height of the Flagstaff?