The sophomore class is putting on a dinner and dance to raise money for when they have their prom. From their freshman year they
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<u>Answer:</u>
Height of cables = 23.75 meters
<u>Step-by-step explanation:</u>
We are given that the road is suspended from twin towers whose cables are parabolic in shape.
For this situation, imagine a graph where the x-axis represent the road surface and the point (0,0) represents the point that is on the road surface midway between the two towers.
Then draw a parabola having vertex at (0,0) and curving upwards on either side of the vertex at a distance of or
, and y at 95.
We know that the equation of a parabola is in the form and here it passes through the point
.
So new equation for parabola would be .
Now we have to find the height of the cable when
.
y = 23.75 meters