Answer:
59
29.33
Explanation:
Recall SOH CAH TOA
SOH= Sinα=opposite/hypotonouse
CAH= cosα=adjacent/hypotonouse
TOA= tanα=opposite/adjacent
To find angle C we'll use TOA
which means we take the lenght opposite to d and adjacent to d
which means we have
tand=10/6
d=tan⁻1(10/6)
d=59
to find length z let's use SOH CAH TOA again (for the practice)
This time let's use angle z and SOH
which means we have
sin(64.5)=z/32.5
Solve for z
32.5sin(64.5)=z
z=29.33
*note* if you use a²+b² for number two you get a sligthly different answer. This is because when they rounded when they wrote 64.5**