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There are many ways you can go. I'm going to start out factoring the whole thing.
(x+9)(x-8) = 0
seperate these into two different equations.
x+9 = 0 and x-8 = 0
x= -9 x=8
Make sure you check it by substituting. Sometimes you might have to reject an answer. In this case you don't. Therefore, 8 and -9 are your roots!
Ok
x=angle
we want radians
2pi radians in 1 circle
x/2pi=27/circumference
find circumfernce
c=2pir
c=2pi10
c=20pi
x/2pi=27/20pi
times both sides by 2pi
x=27/10
x=2.7
answer is 2.7 radians
For this case we have that by definition of trigonometric relations that, the sine of an angle is equal to the opposite leg to the angle on the hypotenuse. So:
Clearing x:
Rounding off we have to:
Answer:
Option D
