Respuesta :

Answer:

80 feet

Step-by-step explanation:

According to the tangent-secant theorem, the square of the tangent length is equal to the product of the secant segment and the external portion.

In other words:

30² = (10 + x) (10)

900 = 100 + 10x

800 = 10x

x = 80

The length of the bridge(secant) is 80 feet

What is a Tangent? 

Tangent to a circle is a straight line that touches the circle at only one point.

What is a Secant?

The secant of a circle is a line that intersects a circle at two distinct points.

The secant and the tangent intersect at a point which is the pond.

Therefore, the product of the length of the secant and its external segment equals the square of the length of the tangent segment.

Therefore,

  • 10(x + 10) = 30²

10x + 100 = 900

10x = 900 - 100

10x = 800

x = 800 / 10

x = 80

Therefore, the length of the bridge is 80 feet

learn more on tangent and secant here: https://brainly.com/question/14022348