Need help solving triangle in picture

see explanation

Step-by-step explanation:

Using the sine ration on the left, right triangle

sin35° = = ( multiply both sides by 8.6 )

8.6 × sin35° = a , thus

a ≈ 4.93 cm

a + b = 15.7, so

4.93 + b = 15.7 ( subtract 4.93 from both sides )

b = 10.77

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Using the cosine ratio on the left, right triangle

cos35° = = ( multiply both sides by 8.6 )

8.6 × cos35° = y , so

y ≈ 7.04 cm

Using Pythagoras' identity on the right, right triangle

c² = b² + y² = (10.77)² + (7.04)² = 115.99 + 49.56 = 165.55

Take the square root of both sides )

c = ≈ 12.87 cm

its the fourth option

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step-by-step explanation: