A woman who is 5feet 4 inches cast a shadow that is 6 feet tall. How long of a shadow would be cast by a man who is 6 feet 8 inches tall

Cross multiply and solve for x.

5.33/6 = 6.67/x

Bad

To find the length of the shadow cast by a man who is 6 feet 8 inches tall, we can use a proportion.

Step 1: Convert the heights into the same unit. Let's use inches for this calculation.
The woman's height is 5 feet 4 inches, which is equivalent to (5 * 12) + 4 = 64 inches.
The man's height is 6 feet 8 inches, which is equivalent to (6 * 12) + 8 = 80 inches.

Step 2: Set up the proportion.
We know that the length of the woman's shadow is 6 feet, which is (6 * 12) = 72 inches.
Let "x" represent the length of the man's shadow.
The proportion would be: (woman's height) / (length of woman's shadow) = (man's height) / (length of man's shadow)
So, 64 / 72 = 80 / x

Step 3: Solve for x.
We can cross-multiply the proportion:
64 * x = 72 * 80
64x = 5760
x = 5760 / 64
x = 90 inches

Therefore, a man who is 6 feet 8 inches tall would cast a shadow that is 90 inches long.

You use the concept of similar triangles. since 5 feet and 4 inches is awkward, you convert everything into inches.

if a 64 inch woman casts a 72 inch shadow,
if a 80 inch man casts a x inch shadow.

You find the proportion between the man and the woman: 80/64. and multiply that number with 72 to get x.

Then convert to feet.