A Bridge Has a Main Span of About 1400 Meters

Multiple Choice

A bridge has a main span of about 1400 meters. Each of its towers has a height of about 146 meters. Approximate the length of a parabolic cable along the main span if the length C of $\text { the cable is given by } C = 2 \int _ { 0 } ^ { w } \sqrt { 1 + \left( 4 h ^ { 2 } / w ^ { 4 } \right) x ^ { 2 } } d x \text {. Round your answer to one decimal place. }$

A) 719.8 meters
B) 759.4 meters
C) 2120.7 meters
D) 1439.6 meters
E) 2879.2 meters