Respuesta :

Luv2Teach
You have a right triangle here with the length of the hypotenuse as 31 and the vertical leg as 25. In order to find the length of the base leg, you need one of the angle measures. Let's find the measure of the other base angle using the sin ratio: sin A = 25/31. sin A = .8064516, and sin^-1(.8064516)=53.75. So the other base angle measures 53.75 degrees. Now use that angle and the cos ratio to find the length of the missing leg. cos(53.75)=x/31. x = 31 cos(53.75), and x = 18.33

The distance between the base of the pole to the edge of the wire is 18.33 ft.

Data;

  • length of the wire (hypothenuse) = 31 foot
  • length of the pole (opposite) = 25 foot
  • distance between the edge of the wire and pole = z

Pythagorean's Theorem

To solve this question, we need to use Pythagorean theorem to solve the distance between the base of the pole to the edge of the wire.

[tex]x^2=y^2+z^2\\[/tex]

Let's substitute the values and solve.

[tex]31^2 = 25^2 + z^2\\z^2 = 31^2 - 25^2\\z^2 = 336\\z = \sqrt{336} \\z = 18.33ft[/tex]

From the calculations above, the distance between the base of the pole to the edge of the wire is 18.33 ft.

Learn more on Pythagorean theorem here;

https://brainly.com/question/20545047

https://brainly.com/question/2293263

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