Answer:
5). x = 11.9°
6). x = 27.2°
Explanation:
5). By applying cosine rule in the given triangle,
cos(32)° =
![\frac{\text{Adjacent side}}{\text{Hypotenuse}}](https://img.qammunity.org/2022/formulas/mathematics/high-school/2g10r4cqopjqdlu10ohof3crit2z805ax1.png)
cos(32)° =
![(x)/(14)](https://img.qammunity.org/2022/formulas/mathematics/high-school/ikljn89isyyzjndl11si82wkefmyitur8m.png)
x = 14cos(32)°
x = 11.87
x ≈ 11.9°
6). By applying sine rule in the given triangle,
sin(54°) =
![\frac{\text{Opposite side}}{\text{Hypotenuse}}](https://img.qammunity.org/2022/formulas/mathematics/high-school/5jpr2e7ih2gntvhqc2dugg55cybkbun8pq.png)
sin(54°) =
![(22)/(x)](https://img.qammunity.org/2022/formulas/mathematics/college/5uxdm6xmp8l0i6a011upyz775e84k7zmr7.png)
x =
![\frac{22}{\text{sin(54)}}](https://img.qammunity.org/2022/formulas/mathematics/college/18bfcjhvwh8jelabk25762ewt4240ug756.png)
x = 27.19°
x ≈ 27.2°