Final answer:
To find the height of the building, set up a proportion using the lengths of the shadows. Cross multiplying, we find that the height of the building is 210 feet.
Step-by-step explanation:
To find the height of the building, we can set up a proportion using the lengths of the shadows.
Let h be the height of the building.
The proportion would be:
42 feet (height of flagpole) : 9.8 feet (length of flagpole's shadow) = h feet (height of building) : 49 feet (length of building's shadow)
Cross multiplying, we get: 42 * 49 = 9.8h.
Solving for h, we find that the height of the building is 210 feet.