Alright, lets get started.
We could use sine law to find the remaining angle.
Plugging the value of sin 64
Cross multiplying
sin S = 0.8189
Taking inverse on both side
S = 55° : Answer
Hope it will help :)
Twelve and eight hundred seventy three thousandths
The measure of angle theta is 30 degrees.
This is a 30-60-90 triangle where the short leg is half that of the hypotenuse. The short leg is opposite the smallest angle 30 degrees.
You can use trig to find that
sin(angle) = opposite/hypotenuse
sin(theta) = 5/10
sin(theta) = 0.5
theta = arcsin(0.5)
theta = 30 degrees
The answer to the question
Okay. To find the distance apart from each other, subtract 15.3 and 7.5. When you do that, you should get 7.8. -7.5 and -15.3 are 7.8 units away on a number line.
