Answer:
5. 6.1 units
6. 29.4 units
7. 12.8 units
8. 29.1 units
Step-by-step explanation:
5. We have the opposite and adjacent sides here for angle 21 degrees. So we need to use tangent, which is opposite / adjacent:
[tex]tan(21)=x/16[/tex]
[tex]x=16*tan(21)[/tex] ≈ 6.1 units
6. We have the opposite and hypotenuse sides here for angle 33 degrees. So we need to use sine, which is opposite / hypotenuse:
[tex]sin(33)=16/x[/tex]
[tex]x=16/sin(33)[/tex] ≈ 29.4 units
7. We have the opposite and adjacent sides here for angle 37 degrees. So we need to use tangent, which is opposite / adjacent:
[tex]tan(37)=x/17[/tex]
[tex]x=17*tan(37)[/tex] ≈ 12.8 units
8. We have the opposite and hypotenuse sides here for angle 31 degrees. So we need to use sine, which is opposite / hypotenuse:
[tex]sin(31)=15/x[/tex]
[tex]x=15/sin(31)[/tex] ≈ 29.1 units
Hope this helps!
