Question

I need help with this math problem

Answer 1

Answer:

x = 15

Step-by-step explanation:

The right angle is formed at at the tangent line and the radius

So to solve for the missing angle we can solve for x using the Pythagorean Theorem

The Pythagorean theorem states that the sum of the two legs squared equal the hypotenuse squared

Knowing this we can create an equation to solve for x

$12^2+9^2=x^2$

now we solve for x

$12^2=144\\9^2=81\\81+144=225\\225=x^2\\\sqrt{225} =15\\\sqrt{x^2} =x\\x=15$

So we can conclude that x = 15