Question

At the same time of day, a man who is 76 inches tall casts a 57-inch shadow, and his son casts a 24-inch shadow. What is the height of the man's son?

A. 19 inches
B. 28 inches
C. 30 inches
D. 38 inches

Answer 1

To find the height of the man's son, we can use the concept of similar triangles. The height of the man is 76 inches and his shadow is 57 inches. His son's shadow is 24 inches. By setting up a proportion, we can determine that the height of the man's son is 32 inches.

Step-by-step explanation:

To find the height of the man's son, we can use the concept of similar triangles. The ratio of the height of the man to the length of his shadow is the same as the ratio of the height of his son to the length of his son's shadow. So, we can set up a proportion:

76/57 = x/24, where x is the height of the man's son. We can cross-multiply and solve for x:

76*24 = 57*x

x = (76*24)/57 = 32 inches

Therefore, the height of the man's son is 32 inches.