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Two poles, AB and ED, are fixed to the ground with the help of ropes AC and EC, as shown:


Two right triangles ABC and EDC have a common vertex C. Angle ABC and EDC are right angles. AB is labeled 12 feet, AC is labeled 14 feet, EC is labeled 10 feet, and ED is labeled 7 feet.


What is the approximate distance, in feet, between the two poles?


7.14 feet

7.21 feet

14.35 feet

15.59 feet

Two poles AB and ED are fixed to the ground with the help of ropes AC and EC as shownTwo right triangles ABC and EDC have a common vertex C Angle ABC and EDC ar class=

Respuesta :

3167972

Answer:

14.35 ft

Step-by-step explanation:

We can use the pythagorean theorem to find the distance between the poles since both triangles are right triangles.

a^2 + b^2 = c^2

a^2 + 12^2 = 14^2

a^2 + 144 = 196

a^2 = 52

a = 7.21 ft

a^2 + b^2 = c^2

a^2 + 7^2 = 10^2

a^2 + 49 = 100

a^2 = 51

a = 7.14 ft

7.21 + 7.14 = 14.35 ft

Brainliest, please :)

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