Answer:
for answer 5 - 12 use the below
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
5)
we know the Hyp and the angle and want to find the Opp so use Sin.. since it's got all of those.
Sin(35) = Opp / 10
10 * Sin(35) = Opp
5.7357 = Opp
x = 5.7 inches
6)
same as 5 but now we want to find the Adj side sooo... use Cos
Cos(54) = Adj / 36 ( from the picture I'm unsure if it's 36 or 35 )
36 * Cos(54) = Adj
21.160 =Adj
x = 21.2 meters
7)
now we know the angle and the Adj side and want to find the Opp , lets use Tan for that
Tan(20) = Opp / 47
47 * Tan(20) = Opp
17.1066 = Opp
x = 17.1 feet
8)
this is identical to 5) but the turned the shape so it looks different, but it's not
Sin(16) = Opp / 18
18 * Sin(16) = Opp
4.9614 = Opp
x = 5.0 cm
9)
this one is another Opp and Adj so use Tan again
Tan(65) = Opp / 7.5
7.5 Tan(65) = Opp
16.083 = Opp
x = 16.1 miles
10)
Hyp, angle , Adj, so use Cos
Cos(51) = Adj / 60
60 * Cos(51) = Adj
37.759 = Adj
x = 37.8 feet
11)
angle , Opp, find Hyp sooo... use Sin
Sin( 36) = 28 / Hyp
Hyp = 28 / Sin(36)
Hyp = 16.45798
x = 16.5 meters
12)
dealing with Adj, Opp and angle , use Tan again
Tan(60) = 90/ Adj
Adj = 90 / Tan(60)
Adj = 51.961
x = 52.0 inches
