Find each acute angle measure , to the nearest degree

As shown , using trigonometry, sine and cosine will solve all the problems. remember, soh cah toa.
Sine is opposite over hypotenuses.
Cosine is adjacent over hypotenuses.
And tangent is opposite over adjacent.

SOH CAH TOA

13. cosP = (A/H)
cosP = (8 ÷ 18)
cosP = (4/9)
P = cos^-1(4/9)
P = 63.61220004
64

14. sinQ = (O/H)
sinQ = (8 ÷ 18)
sinQ = (4/9)
Q = sin^-1(4/9)
Q = 26.38779996
26

15. sinU = (O/H)
sinU = (11 ÷ 15)
cosU = (11/15)
U = sin^-1(11/15)
U = 47.16657193
 47

16. cosW = (A/H)
cosW = (11 ÷ 15)
cosW = (11/15)
W = cos^-1(11/15)
W = 42.83342807
43