Question

Please help,find each acute angle measure , to the nearest degree

Answer 1

SOH CAH TOA

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

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

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

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

Answer 2

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.