Question

An 8ft flagpole cast a 17ft shadow. A building casts a 68ft shadow. How talls the building?

Answer 1

To find the height of the building, set up a proportion using the lengths of the flagpole and its shadow. Cross multiply and solve for the unknown variable 'h'. The building is 32 feet tall.

Step-by-step explanation:

To find the height of the building, we can set up a proportion using the lengths of the flagpole and its shadow. The height of the building is the unknown variable, let's call it 'h'. The proportion can be set up as:

(height of flagpole) / (length of flagpole's shadow) = (height of building) / (length of building's shadow)

Plugging in the given values, we have:

8 ft / 17 ft = h / 68 ft

Cross multiplying, we get:

17h = 8 * 68

Simplifying, we find that h = 32 ft. Therefore, the building is 32 feet tall.