A pole 4 m tall casts a shadow 5 m long. At the same time a building casts a shadow 30 m long. How tall is the building in meters?
Answer and explanation
Correct answer: B. 24
- Step 1: The pole and the building form similar right triangles with their shadows.
- Step 2: H / 30 = 4 / 5, so H = 30 x 4 / 5 = 24.
Answer
24.
Why not the others: Adding the shadow difference to the height does not keep the ratio of height to shadow constant.
Practise more Geometry.
Free questions with an explanation for every one, and full timed Psychometric Entrance Test (PET Israel) mock tests.
More Geometry questions
- The perimeter of a rectangle is 40 cm and its length is 8 cm more than its width. What is its area in square cm?
- A circle has radius 10 cm. What is its area in terms of pi?
- A ladder 25 m long leans against a vertical wall with its foot 7 m from the wall. How high up the wall does it reach, in meters?
- A circle has circumference 18 pi cm. What is its area in terms of pi?
- A ladder 13 m long leans against a vertical wall with its foot 5 m from the wall. How high up the wall does it reach, in meters?
- A pole 3 m tall casts a shadow 2 m long. At the same time a building casts a shadow 10 m long. How tall is the building in meters?