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victus00 [196]
3 years ago
7

I need help solving this right triangle, please!​

Mathematics
2 answers:
pochemuha3 years ago
8 0

Answer:

<h2>∠B = 36.87°</h2><h2></h2>

Step-by-step explanation:

since its a right triangle, use Pythagorean to solve for c

c² = 3² + 4²

c = √25

c = 5

<u>now use law of sine</u>

sinB = sinC

  b         c

<u>sin(B) </u>=<u> sin(90)</u>

  3            5

5*sin(B) = 3*sin(90)

sin(B) = <u>3*sin(90)</u>

                  5

∠B = sin⁻¹(0.60)

∠B = 36.87°

Vesna [10]3 years ago
4 0
We know the opposite and adjacent sides of angle B, so we can use the inverse tangent to solve for its value.
tan(B)^-1 = 3/4
B = 64.4 degrees
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