Respuesta :

Using right triangle relations, we will get:

  • tan(B) = 1.05
  • sin(B) = 0.735
  • cos(B) =  0.7

How to find the value of the trigonometric equations?

We assume that bot triangles are equivalent, then the angle B will be the same as the angle Z.

Now remember the relations:

  • tan(θ) = (opposite cathetus)/(adjacent cathetus).
  • sin(θ) = (opposite cathetus)/(hypotenuse)
  • cos(θ) = (adjacent cathetus)/(hypotenuse).

If we step on angle B, we have:

  • opposite cathetus = 29.4
  • adjacent cathetus = 28
  • hypotenuse = 40.6

Replacing that, we get:

  • tan(B) = 29.4/28 = 1.05
  • sin(B) = 29.4/40.6 = 0.735
  • cos(B) = 28/40.6 = 0.7

If you want to learn more about trigonometric functions:

https://brainly.com/question/8120556

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