Question

Solve triangle ABC which have angle A=25 25,angle B=60 51 and a=3.82 find c?

a)3-6

b)7.0

c)7.4

d)8.8

Answer 1

Answer on Question #59654 – Math – Trigonometry

Question

Solve triangle ABC which have angle A=25 25, angle B=60 51 and a=3.82. Find c.

a) 3-6

b) 7.0

c) 7.4

d) 8.8

Solution

Angle

$$C = 180{}^\circ - (25.25{}^\circ + 60.51{}^\circ) = 94.24{}^\circ$$

Using the sine law

$$\frac{c}{\sin C} = \frac{a}{\sin A},$$

hence

$$c = a \frac{\sin C}{\sin A} = 3.82 \frac{\sin 94.24{}^\circ}{\sin 25.25{}^\circ} \approx 8.8$$

Answer: d) 8.8.

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