MATHEMATICS HIGH SCHOOL

What is the length of AC ? Round to the nearest tenth.10.5 m
12.3 m
18.3 m
21.4 m
yadicreo avatar

Answers

Answer 1
Answer:

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 ratioSOHCAHTOA 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
tan\theta = (opposite)/(adjacent)

Let's substitute the values and solve for AC

tan 55 = (15)/(AC) \nAC = (`15)/(tan55) \nAC = 10.5m

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

Learn more on trigonometric ratio here;

brainly.com/question/24349828
Answer 2
Answer: 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: tan(55)= (15)/(x) and x= (15)/(tan(55)).  Do that on your calculator to find that side AC (x) = 10.5, first choice above.

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Answers

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Answers

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