Civil Service Exam Reviewer · Measurement and Geometry · hard
A 3-m pole casts a shadow 6 m long. At the same time, a building casts a shadow 66 m long. How tall is the building?
- 33 m
- 132 m
- 63 m
- 198 m
Answer
A. 33 m
Solution
Similar triangles: H/66 = 3/6 → H = 33 m.
More Measurement and Geometry questions
- A garden 20 m by 6 m is surrounded by a walkway 2 m wide. What is the area of the walkway?
- A circle is inscribed in a square with sides of 8 cm. What is the area of the region inside the square but outside the circle? (π = 3.14)
- What is the volume of a cone with a radius of 3 cm and a height of 10 cm? (π = 3.14)
- A cylindrical water tank has a radius of 90 cm and a height of 90 cm. How many liters can it hold? (π = 3.14, 1 L = 1000 cm³)
- A window is shaped like a 9 dm × 13 dm rectangle topped by a semicircle whose diameter is the 13-dm side. What is the window's total area?…
- A runner moves at 28 m/s. How far in kilometers does she travel in 26 minutes?
- An open-top box (no lid) is 23 cm long, 22 cm wide and 13 cm high. What is the area of material used?
- A solid metal cube with 10-cm edges is dropped into a rectangular aquarium 50 cm long and 54 cm wide, fully submerging it. By how much…
- A right triangle has a hypotenuse of 51 cm and one leg of 24 cm. What is its area?
- A rhombus has diagonals of 10 cm and 25 cm. What is its area?