Answer:
1. sine = opposite / hypotenuse = 30 / 34 = 15 / 17
cosine = adjacent / hypotenuse = 16 / 34 = 8 / 17
tangent = opposite / adjacent = 30 / 16 = 15 / 8
2. you have to use the law of sines function
the formula for law of sines is
sin of angle A / side A = sin of angle B / side B = sine of angle C / side C
The information we know is sin of a and side a which is 90 degrees and side A length of 20
we don't know Side B and C
we know sin of angle B = 45 degrees
all we have to do is ratios
[tex]\frac{sin(90}{20} = \frac{sin(45}{x} \\\\sin(90)*x = 20 * sin(45\\\\sin(90) * x = 14.14\\[/tex]
now divide both sides by sin(90
left side both cancel and on right side 14.14/ sin(90 = 14.14 is the answer
Step-by-step explanation:
