Question

Solve the missing side. Find the missing side. Round to the nearest tenth. Please show the work. Part 2. #5-8​

Answer 1

5. 6.1

6. 29.4

7. 12.8

8. 29.1

Explanation:

tan(21) = X/16

X = 16tan(21)

X = 6.141824561

sin(33) = 16/X

X = 16/sin(33)

X = 29.37725534

tan(37) = X/17

X = 17tan(37)

X = 12.81041885

sin(31) = 15/X

X = 15/sin(31)

X = 29.1240604

Answer 2

5. 6.1 units

6. 29.4 units

7. 12.8 units

8. 29.1 units

Explanation:

5. We have the opposite and adjacent sides here for angle 21 degrees. So we need to use tangent, which is opposite / adjacent:

`tan(21)=x/16`

`x=16*tan(21)` ≈ 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:

`sin(33)=16/x`

`x=16/sin(33)` ≈ 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:

`tan(37)=x/17`

`x=17*tan(37)` ≈ 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:

`sin(31)=15/x`

`x=15/sin(31)` ≈ 29.1 units

Hope this helps!