A new bridge structure requires triangles that are in a ratio of 1:1. if ac = 2x 10 and ec = 4x − 18, find the distance between the top and bottom of the bridge, in feet. 14 ft 38 ft 76 ft 150 ft

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09-12-2022
Mathematics

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A new bridge structure requires triangles that are in a ratio of 1:1. if ac = 2x 10 and ec = 4x − 18, find the distance between the top and bottom of the bridge, in feet. 14 ft 38 ft 76 ft 150 ft

Answer :

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Tutorconsortium423 Tutorconsortium423 · Answer 1 · 2022-12-15T13:41:41-05:00

Thus, the bridge has a 76-foot height difference between its top and bottom.

What is equation ?

an equation expressing the relationship between two expressions on either side of a sign. Normally, it has an equal sign and just one variable. such as this: 2x - 4 = 2.

Here,

Triangles are arranged in a 1:1 ratio.

EC equals 4x 18 and AC equals 2x + 10.

Since the two triangles ACB and DCE have sides that are one to one, their corresponding angles are also one to one.

Sides AC and EC are hence complementary to one another.

=>AC : EC = 1 : 1

=>AC=EC

=> 2x + 10 = 4x − 18.

=> -2x = -28

=> x =14

The bridge's top and bottom are separated by an EA distance.

EA = AC + EC

EA => 2x + 10 + 4x - 18

EA => 6x - 8

EA = >6(14) - 8

EA => 84 - 8

EA = 76 feet

Thus, the bridge has a 76-foot height difference between its top and bottom.

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