Question

Find the length of the segment to the nearest hundreth.

Answer 1

a = 3.2

Explanation:

Since the tangent-looking line is tangent, then we know we have right triangle.

Use the Pythagorean theorem to find the answer:

`a^2 *b^2 = c^2\\a^2 * 5^2 = 16^2\\a^2 * 25 =256\\a^2 = (256)/(25)\\ a=\sqrt{(256)/(25) } \\a = 3.2`

Therefore,

a = 3.2 units