Question

What is the length of YX?

Answer 1

Answer:

15.87 meters.

Step-by-step explanation:

We have been given a diagram of a circle and we are asked to find the length of segment YX.

We can see that line YX is tangent of our given circle and line VZ is secant of our circle.

To find the length of YX we will Tangent-Secant theorem, which states that the product of the lengths of the secant and its external segment equals the square of the length of the tangent segment.

Using Tangent-Secant theorem we can set an equation to solve for YX as:

$(YX)^2=9*(19+9)$

$(YX)^2=9*(28)$

$(YX)^2=252$

Let us take square root of both sides of our equation.

$YX=\sqrt{252}$

$YX=15.874507866\approx 15.87$

Therefore, the length of YX is 15.87 meters.