Final answer:
To find the height of a building based on Malik's height and the shadow lengths, we set up a proportion using the known values. After cross-multiplying and solving, the building is found to be approximately 22 feet tall.
Step-by-step explanation:
The question you've asked involves using proportions to solve for the unknown height of a building, given the height and shadow length of another object. Since Malik is 6 feet tall and casts a 16-foot shadow, and the nearby building casts a 58-foot shadow, we can use this information to find the height of the building by setting up a proportion:
Malik's Height / Malik's Shadow = Building's Height / Building's Shadow
6 ft / 16 ft = Building's Height / 58 ft
By cross-multiplying, we get:
6 ft × 58 ft = 16 ft × Building's Height
Building's Height = (6 ft × 58 ft) / 16 ft
Building's Height = 348 ft / 16 ft
Building's Height = 21.75 ft or approximately 22 feet tall
This proportion method allows you to approximate the height of a building based on the shadows cast by it and another object of known height. The additional information provided - like the typical height of a building story or details on specific buildings such as the Burj Khalifa - though interesting, are not necessary to solve this particular problem.