The length of AC is 16 km.
Solution:
Given data:
AB = c = 14 km, ∠A = 30° and ∠B = 89°
AC = b = ?
<u>Let us first find angle C:</u>
<em>Sum of all angles in a triangle = 180°</em>
m∠A+ m∠B + m∠C = 180°
30° + 89° + m∠C = 180°
119° + m∠C = 180°
Subtract 119° from both sides, we get
m∠C = 61°
<u>To find the length of AC:</u>
<em>Using sine formula:</em>
Substitute the given values in the formula.
Multiply by sin 89° on both sides.
The length of AC is 16 km.
The key idea of the transformation called a rotation is the moving of the plane a certain angle about a fixed point.
Divide by the greatest common factor.. The answer is 2/3
Step-by-step explanation:
<u>Step 1: Add 13x to both sides</u>
<u>Step 2: Add 4 to both sides</u>
<u>Step 3: Use Quadratic Formula</u>
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