Question

I need help with this math problem

Answer 1

x = 15

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\\√(225) =15\\√(x^2) =x\\x=15`

So we can conclude that x = 15