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Luden [163]
4 years ago
13

Solve the right triangle shown in the figure

Mathematics
1 answer:
lana [24]4 years ago
6 0

Answer:

Option B

Step-by-step explanation:

step 1

Find the measure of angle A

Remember that the sum of the interior angles of a triangle must be equal to 180 degrees

∠A+∠B+∠C=180°

substitute the given values

∠A+23.4°+90°=180°

∠A+23.4°+90°=180°-113.4°=66.6°

step 2

Find the length of side BC (a)

Applying the law of sines

c/sin(C)=a/sin(A)

3.3/sin(90)=a/sin(66.6)

a=3.3*sin(66.6)/sin(90)

a=3.0 mm

step 3

Find the length side AC (b)

Applying the law of sines

c/sin(C)=b/sin(B)

3.3/sin(90)=b/sin(23.4)

b=3.3*sin(23.4)/sin(90)

b=1.3 mm

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