Answer:
(a)80 feet
(b)$120,000
Step-by-step explanation:
Part A
Intersecting Secant-Tangent Theorem
If a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.
In the attached diagram, the theorem applied is:
[tex]|AX|^2=|UX|*|TX|[/tex]
Comparing with our diagram:
|AX|=30 feet
|UX|=10 feet
Length of the Bridge,L
Therefore:
[tex]30^2=10 X ($Length of the Bridge+10)[/tex]
900=10(L+10)
L+10=900/10
L+10=90
L=90-10=80 feet
Length of the Bridge=80 feet
Part B
If each foot costs $1500
Cost of the bridge=$1500*80=$120,000
