Solve the right triangle, ΔABC, for the missing side and angles to the nearest tenth given sides a = 14.9 and b = 17.5.
1 answer:
Answer:
C. A = 40.4 , B = 49.6 , c = 23
Step-by-step explanation:
First, we need to get the c using the pythagoras theorem;
c² = a²+b²
c² = 14.9²+17.5²
c² = 222.01 + 306.25
c² = 528.26
c = 22.98
c ≈ 23
Using the sin rule;
a/Sin<A = c/sin<C
14.9/sin<A = 23/sin90
14.9/sin<A = 23
sin<A = 14.9/23
sin <A = 0.6478
<A = arcsin(0.6478)
<A = 40.4degrees
Also, <A + <B + <C = 180
40.4 + <B + 90 = 180
<B = 180 - 130.4
<B = 49.6degrees
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