Is this correct ? Or would the angle be considered an acute angle
2 answers:
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<h3>Answer: 5.5 which is choice B</h3>
Have a look at the diagram I posted below. I marked on your image to add in another angle. This angle is also 20 degrees because of congruent alternate interior angles (horizontal lines are parallel). This angle I add in is the reference angle of the triangle
opposite the reference angle is the vertical side x
adjacent to the reference angle is the horizontal side 15
We'll use the tangent rule. Make sure your calculator is in degree mode.
tan(angle) = opposite/adjacent
tan(20) = x/15
15*tan(20) = x <<-- multiply both sides by 15
x = 15*tan(20)
x = 5.45955 <<--- use calculator; this is approximate
x = 5.5 <<--- round to one decimal place
Answer:
x = 0 , π
Step-by-step explanation:
- Rewrite it by using the identity
- Add 4sin x to both the sides.
- Take sin x common from the expression in L.H.S.
Here , we can get two more equations to find x.
1)
- Divide both the sides by sin x
- Substract 4 from both the sides.
2)
- Divide both the sides by (sin x + 4)
over interval [0 , 2π).