Please help me i am desperate please (1/3)

I think we're not supposed to do more than 3 problems in one answer; certainly not five pages. Does the 1/3 mean there are 10 more to come?

I'll do the first page.

6)

Right triangle, opposite side of 10, adjacent side of 21,

tan x = opp/adj = 10/21

x = arctan 10/21 = 25.46°

25

7)

cos x =   adj / hyp = 10/14

x = arccos 10/14 = 44.42°

44

8)

tan x = opp/adj = 12/24 = 1/2

x = arctan 1/2 = 26.57°

27

9)

tan x = 31/32

x = arctan 31/32 = 44.09°

44

10)

x = arctan 10/27 = 20.32°

20

astronomers is your final answer! : )