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