On a sunny day an office building casts a shadow that is 80 feet long. At the same time, a 5 foot person casts a 6 foot shadow. Determine the height of the office building to the nearest foot.
Let's set up a proportion.
5/6 = x/80
Cross multiply:
6x = 400
x = 400/6
x = ?
66.6
To determine the height of the office building, we can set up a proportion between the height of the building and the length of its shadow:
Height of building / Length of building's shadow = Height of person / Length of person's shadow
Let's denote the height of the building as "x". Rearranging the proportion, we have:
x / 80 = 5 / 6
To solve for "x", we can cross-multiply and then divide:
x * 6 = 80 * 5
6x = 400
x = 400 / 6
x ≈ 66.67
Therefore, the height of the office building is approximately 66.67 feet.