Trigonometry: Suppose two large rods were aligned and needed to be connected by steel wires. The first rod is 14 ft high and the second is 22 ft high. The rods are 18ft apart. What length of wire can connect the top of each rod?



Answer :

Answer:

  19.7 ft

Step-by-step explanation:

You want to know the distance between the tops of two rods 18 ft apart, one 14 ft high and the other 22 ft high.

Pythagorean theorem

As the attached diagram shows, the distance between the tops of the rods is the hypotenuse of a right triangle with legs 18 ft and 8 ft. That distance can be found using the Pythagorean theorem.

  d² = a² +b²

  d = √(a² +b²)

  d = √(18² +8²) = √388 ≈ 19.70 . . . . feet

A length of wire that is 19.7 ft long can connect the tops of the two rods.

View image sqdancefan