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 13 feet, AC is labeled 15 feet, EC is labeled 10 feet, and ED is labeled 4 feet.
What is the approximate distance, in feet, between the two poles? (5 points)

A. 11.14 feet

B. 16.65 feet

C. 14.35 feet

D. 15.59 feet
(which one)

1 answer

To find the approximate distance between the two poles, we can use the Pythagorean theorem.

In triangle ABC, we have AB = 13 feet and AC = 15 feet. Using the Pythagorean theorem, we can find BC:

BC^2 = AB^2 - AC^2
BC^2 = 13^2 - 15^2
BC^2 = 169 - 225
BC^2 = -56

The value under the square root is negative, which means that triangle ABC is not possible. This means that there must be an error in the given measurements or the diagram is drawn incorrectly. Therefore, we cannot determine the approximate distance between the two poles.