A building casts a shadow that is 55 feet long. At the same time, a woman standing nearby who is 5 feet 3 inches tall casts a shadow that is 45 inches long. How tall is the building to the nearest foot?
This did not help me with what I was trying to figure out,but I can't dis a good math problem.
h/55 = 63/45
77 ft
To find the height of the building, we can set up a proportion using the lengths of the shadows and the heights of the objects.
Let's convert the height of the woman's shadow from inches to feet. There are 12 inches in a foot, so 45 inches is equal to 45/12 = 3.75 feet.
Now, we can set up the proportion:
Height of the building / Length of the building's shadow = Height of the woman / Length of the woman's shadow
Let x represent the height of the building.
x / 55 feet = 3.75 feet / 5.25 feet (since 5 feet 3 inches is equal to 5.25 feet)
To solve for x, we can cross-multiply:
x * 5.25 feet = 55 feet * 3.75 feet
x * 5.25 = 206.25
Now, divide both sides of the equation by 5.25:
x = 206.25 / 5.25
x ≈ 39.29
Therefore, the height of the building is approximately 39.29 feet to the nearest foot.