Respuesta :

Answer:

x = 55.06531425, or 55

Step-by-step explanation:

(x/68) = tan(39)

  • Set up your equation and rearrange it.

68 * (x/68) = 68 * tan(39)

  • On the left side, with 68 * (x/68), the 68's cancel out and leave us with x.
  • On the right side, with 68 * tan(39), we need to first solve for tan(39) and multiply it by 68.
  • Continuing the right side, tan(39), when using a calculator, is 0.8097840332 (make sure your calculator is in degree mode), and when this is multiplied by 68, this makes 55.06531425.

x = 55.06531425, or 55

  • Solve for x!

Answer:

[tex]\huge\boxed{x \approx 55}[/tex]

Step-by-step explanation:

We need to note that this is an equation, in which we can solve for x.

[tex]tan(39) = \frac{x}{68}[/tex]

We can use a calculator to find the tangent of 39 - we type 39 into the calculator then press the "TAN" button to find it's tangent. We find that to be around 0.81.

We now have the formula simplified down to [tex]0.81 = \frac{x}{68}[/tex]. To solve for x, we want to isolate it on one side, so we can multiply both sides by 68 to get rid of the fraction.

We know have [tex]0.81 \cdot 68 = x[/tex]

[tex]0.81 \cdot 68 = 55.08 \approx 55[/tex], so x is approximately 55.

Hope this helped!

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