Question

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

Answer 1

Answer:

5. 6.1

6. 29.4

7. 12.8

8. 29.1

Step-by-step 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

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:

$tan(21)=x/16$

$x=16*tan(21)$ ≈ 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!