Answer:
Total distance = 30 m
Step-by-step explanation:
Given:
AC : EC = 1:1
AC = 4x − 3 and EC = 2x + 6
Find:
Total distance
Computation:
AC = EC
So,
4x - 3 = 2x + 6
2x = 9
x = 4.5
AC = 4(4.5) - 3 = 15 m
EC = 2(4.5) + 6 = 15 m
Total distance = AC + EC
Total distance = 15 m + 15 m
Total distance = 30 m
The distance between the top and bottom of the bridge, in feet, is 15 + 15 = 30m
Given that a new bridge structure requires triangles that are in a ratio of 1:1 with the following parameters
AC = 4x - 3
EC = 2x + 6
Since the measure are in the same ratio, henec;
AC = EC
4x - 3 = 2x + 6
4x - 2x = 6 + 3
2x = 9
x = 4.5
Get the
AC = EC = 4x - 3
AC = EC = 4(4.5) - 3 = 15feet
The distance between the top and bottom of the bridge, in feet, is 15 + 15 = 30m\
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