Side a of the triangle is a utility pole. Henry would like to know how long the guy wire, c, should be.
1 answer:
We know that the pole is perpendicular to the ground
And that the length of the pole is 20 feet tall, and the base is 15 feet
Now, the guy wire is a wire that provides support to the pole by connecting the top of the pole to the ground
So this represents a right angled triangle (refer image), and the hypotenuse is the length of the guy wire
Using Pythagoras theorem, we can find out the length of the hypotenuse
⇒ Hypotenuse² = Perpendicular² + Base²
⇒ Hypotenuse² = 20² + 15²
⇒ Hypotenuse² = 400+225
⇒ Hypotenuse² = 625
⇒ Hypotenuse = √625
⇒ Hypotenuse = 25
Hence, the correct option is B 25 ft.
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Keywords:
<em>System of equations, variables, hardcover version, paperback version, books </em>
For this case we must construct a system of two equations with two variables. Let "h" be the number of hardcover version books, and let "p" be the number of paperback version books. If the hardcover version of a book weighs 7 ounces and the paperback version weighs 5 ounces, to reach a total of 249 ounces we have:
(1)
On the other hand, if there are Forty-five copies of the book then:
(2)
If from (2) we clear the number of books paperback version we have:
As each paperback version book weighs 5 ounces, to obtain the total weight of the paperback version books, represented by "x" in the table shown, we multiply
So,
Answer:
Option D