Are two line segments always similar
2 answers:
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Answer:
<em>Approximately 43 feet of minimum cable is needed. </em>
Step-by-step explanation:
This problem can be solved using Trigonometry and Pythagorean theorem. Pythagorean theorem applies on right-triangles (<em>which are known to have one 90° angle</em>). The theorem states that the square of the Hypotenuse is obtained by the squared sum of the other two sides of the triangle (i.e the two sides forming the 90° angle - with the hypotenuse side being across it as:
Eqn. (1)
where
is the hypotenuse
is a side
is a side
<u>Now in this case, the utility pole must be perpendicular to the ground and the anchor being parallel to the ground, and a 90° angle formed between them. </u>Conclusively the cable length will be represented by the hypotenuse in a right triangle. So here we have and
. Plugging in Eqn.(1) and solving for
we have:
So we conclude that the minimum length of cable needed by Lamont is
≈43 feet (rounded up).