∠BCD is reflected over the x-axis. If m∠BCD = 35°, what is the measure of ∠BʹCʹDʹ ?
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Distance between the top and bottom of the bridge is 76 feet
Solution:
The image of the question is attached below.
Ratio of the triangles is 1 : 1.
AC = 2x + 10 and EC = 4x − 18.
Since the two triangles ACB and DCE are in the ratio 1 : 1, so their corresponding sides are also in the ratio 1 : 1.
Therefore sides AC and EC are corresponding to each other.
AC : EC = 1 : 1
Subtract 10 from both sides of the equation.
Subtract 4x from both sides of the equation.
Divide by -2 on both sides, we get
⇒ x = 14
Distance between the top and bottom of the bridge is EA.
EA = AC + EC
= 2x + 10 + 4x - 18
= 6x - 8
= 6(14) - 8
= 84 - 8
EA = 76 feet
Distance between the top and bottom of the bridge is 76 feet.
