Applying the Trigonometry ratio, CAH, the missing side is, x = 1.9.
<h3>How to Solve a Right Triangle Using Trigonometry Ratio</h3>
The Trigonometry Ratios are:
- SOH - sin∅ = opp/hyp.
- CAH - cos∅ = adj/hyp.
- TOA - tan∅ = opp/adj.
Thus, given:
∅ = 51°
hyp = 3
adj = x
cos 51 = x/3
x = (cos 51)(3)
x = 1.9
Thus, applying the Trigonometry ratio, CAH, the missing side is, x = 1.9.
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Answer:
x = 11 | Scale factor = 2
Step-by-step explanation:
As you can see, the 3 turns into a six meaning it multiplied by 2. Apply this to 5.5 to get 11. The 2 is your scale factor.
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Answer:
-2g-12
Step-by-step explanation:
Answer:
Step-by-step explanation:
Directions
- Draw a circle
- Dear a chord with a length of 24 inside the circle. You just have to label it as 24
- Draw a radius that is perpendicular and a bisector through the chord
- Draw a radius that is from the center of the circle to one end of the chord.
- Label where the perpendicular radius to the chord intersect. Call it E.
- You should get something that looks like the diagram below. The only thing you have to do is put in the point E which is the midpoint of CB.
Givens
AC = 13 inches Given
CB = 24 inches Given
CE = 12 inches Construction and property of a midpoint.
So what we have now is a right triangle (ACE) with the right angle at E.
What we seek is AE
Formula
AC^2 = CE^2 + AE^2
13^2 = 12^2 + AE^2
169 = 144 + AE^2 Subtract 144 from both sides.
169 - 144 = 144-144 + AE^2 Combine
25 = AE^2 Take the square root of both sides
√25 = √AE^2
5 = AE
Answer
The 24 inch chord is 5 inches from the center of the circle.