Answer:
See Explanation
Explanation:
The question is incomplete as the image that illustrates the scenario is not given.
However, I can deduce that the question is about a right-angled triangle.
So, I will give a general explanation on how to find each of the side of the triangle, given a side and an angle.
For triangle A (solve for b)
Using cosine formula.
![\cos \theta = (Adjacent)/(Hypotenuse)](https://img.qammunity.org/2022/formulas/mathematics/high-school/tos33b3s3us8q1j7m9zy1rm4ej3qxcpj6y.png)
![\cos 60= (5)/(b)](https://img.qammunity.org/2022/formulas/mathematics/high-school/5my5htwxplxn7c27kpasgy7jdfpo0ot793.png)
Make b the subject
![b= (5)/(\cos 60)](https://img.qammunity.org/2022/formulas/mathematics/high-school/stj7zix6h5lqelzvabdpv4nscyiqxvlc0z.png)
For triangle B (solve for b)
Using cosine formula.
![\sin \theta = (Opposite)/(Hypotenuse)](https://img.qammunity.org/2022/formulas/mathematics/high-school/70w2hjvx1vao8tmi9zc36nxz902f8ncxoe.png)
![\sin 60= (b)/(5)](https://img.qammunity.org/2022/formulas/mathematics/high-school/ccfbaodtvlo6683dms7ndo10d9ghajcz5n.png)
Make b the subject
![b = 5\sin 60](https://img.qammunity.org/2022/formulas/mathematics/high-school/onv5a4tccq4v5iqvv5g53epe0mscte1k0l.png)
For triangle C (solve for b)
Using cosine formula.
![\tan \theta = (Opposite)/(Adjacent)](https://img.qammunity.org/2022/formulas/mathematics/high-school/h65uhrio2nv4tdf0pibpc4w2rjw313zwvs.png)
![\tan 60= (b)/(5)](https://img.qammunity.org/2022/formulas/mathematics/high-school/vnrp1fs0yq5sxwi9ht9983jzme3lo4k9em.png)
Make b the subject
![b = 5\tan 60](https://img.qammunity.org/2022/formulas/mathematics/high-school/2t3mm606wwfr5ruuvqd8p47ubv6i1s2efo.png)