Answer:
Step-by-step explanation:
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
1)
Hyp =40
∠48
x = Adj
use CAH since it's got these pieces in it
Cos(48) = x / 40
40* Cos(48) = x
26.76522 = x
x = 26.8 ( rounded to nearest 10th)
2)
∠29
Hyp = 35
Opp = x
use SOH since this problem has those pieces in it
Sin(29) = x / 35
35*Sin(29) = x
16.9683 = x
x = 17.0 (rounded to nearest 10th)
3)
40 = Adj
∠16
Hyp = x
use CAH again
Cos(16) = 40 / x
x = 40 / Cos(16)
x = 41.611
x = 41.6 (rounded to nearest 10th )
4)
∠55
Opp = 35
x = Adj
use TOA
Tan(55) =35/x
x = 35/Tan(55)
x = 24.5072
X = 24.5 ( rounded to nearest 10th)
