A building 64 ft high casts a 288-ft shadow. Sarah casts an 18-ft shadow. The triangle formed by the building and its shadow is similar to the triangle formed by Sarah and her shadow. How tall is Sarah

Answer 1

Let x be the height of Sarah.

Using the properties of similar triangles, we can set up the following proportion:

(Height of building) / (Height of Sarah) = (Length of building shadow) / (Length of Sarah shadow)

64 / x = 288 / 18

64 / x = 16

Cross multiplying, we get:

x = 64 / 16
x = 4

Therefore, Sarah is 4 ft tall.