SOLUTION: Sketch a figure and solve each right tringle ABC with right angle at C, given that: 2. B= 64° and C= 19.2

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Question 1152283: Sketch a figure and solve each right tringle ABC with right angle at C, given that:
2. B= 64° and C= 19.2

Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
if you need to sketch a figure(?) and solve each right triangle ABC with right angle at C, given that:
2.
B=+64° and c=+19.2 (I guess this is side)
if given right triangle ABC with right angle at C, we can find the measure of angle A as following:

A=90-64
A=26°
find the length of sides a and b using law of sine:

a%2Fsin%28A%29=b%2Fsin%28B%29=c%2Fsin%28C%29
so,
a%2Fsin%2826%29=19.2%2Fsin%2890%29
a%2Fsin%2826%29=19.2%2F1
a=19.2%2Asin%2826%29
a=19.2%2A0.4383712
a=8.4

b%2Fsin%2864%29=19.2%2Fsin%2890%29
b=19.2%2Asin%2864%29
b=19.2%2A0.898794
b=17.3

now sketch a triangle





Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Sketch a figure and solve each right tringle ABC with right angle at C, given that:
2. B= 64° and C= 19.2
It's NOT C = 19.2, but c = 19.2
∠A = 90 - 64 = 26o
Side a: sin ∠A matrix%281%2C4%2C+%22=%22%2C+O%2FH%2C+%22=%22%2C+a%2F19.2%29 ====> Side a: sin 26o matrix%281%2C4%2C+%22=%22%2C+O%2FH%2C+%22=%22%2C+a%2F19.2%29
a = 19.2 * sin 26o ---- Cross-multiplying
highlight_green%28matrix%281%2C5%2C+Side%2C+a%2C+%22=%22%2C+8.417%2C+units%29%29
Side b: sin ∠B matrix%281%2C4%2C+%22=%22%2C+O%2FH%2C+%22=%22%2C+b%2F19.2%29 =====> Side b: sin 64o matrix%281%2C4%2C+%22=%22%2C+O%2FH%2C+%22=%22%2C+b%2F19.2%29
b = 19.2 * sin 64o ---- Cross-multiplying
highlight_green%28matrix%281%2C5%2C+Side%2C+b%2C+%22=%22%2C+17.257%2C+units%29%29