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Luv2Teach
In this right triangle, side AC is adjacent to the reference angle we were given.  That's our unknown.  The other side is the side opposite the reference angle, so we need a trig ratio that relates the side adjacent to the side opposite which is tangent.  Setting up our ratio we have this: [tex]tan(55)= \frac{15}{x} [/tex] and [tex]x= \frac{15}{tan(55)} [/tex].  Do that on your calculator to find that side AC (x) = 10.5, first choice above.

The length of AC is equal to 10.5m

Data;

  • AC = ?
  • BC = 15m
  • Angle = 55 degrees

Trigonometric Ratio

To solve this problem, we have to apply trigonometric ratio SOHCAHTOA here;

Since we have the value of opposite side, angle and we are looking for the adjacent, we can use tangent of the angle to find AC
[tex]tan\theta = \frac{opposite}{adjacent}[/tex]

Let's substitute the values and solve for AC

[tex]tan 55 = \frac{15}{AC} \\AC = \frac{`15}{tan55} \\AC = 10.5m[/tex]

From the calculations above, the length of AC is equal to 10.5m

Learn more on trigonometric ratio here;

https://brainly.com/question/24349828

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