A pendant flag is made up of a stick and a triangular flag, as shown in the diagram below.

10 in.

8 in.

h

14 in.

What is h, the total height in inches of the stick?

16

8

6

20

1 answer

To find the total height of the stick (h), we need to add the height of the flag (8 inches) to the remaining height below the flag (h).

Given that the total length of the stick is 14 inches and the height of the flag is 8 inches, we can use the Pythagorean theorem to find the remaining height below the flag:

h^2 + 8^2 = 14^2
h^2 + 64 = 196
h^2 = 132
h = √132
h ≈ 11.49 inches

Therefore, the total height of the stick is 11.49 + 8 = 19.49 inches or approximately 20 inches.

So, the answer is 20 inches.