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Anestetic [448]
3 years ago
10

if in a triangle, measure of angle A is 71 degrees, measure of angle B is 42 degrees, and BC= 8, find AC to the nearest hundredt

h.
Mathematics
1 answer:
olasank [31]3 years ago
7 0
Length BC is opposite of angle A and AC is opposite of angle B. 

<span>Since we know one set of opposite angles and lengths and looking for the length where we know the opposite angle, we can use law of sines: </span>

<span>a / sin(A) = b / sin(B) </span>
<span>8 / sin(71) = b / sin(42) </span>
<span>b sin(71) = 8 sin(42) </span>
<span>b = 8 sin(42) / sin(71) </span>
<span>b ≈ 5.66 units (rounded to 2DP)</span>
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