Respuesta :

Answer:

Step-by-step explanation:

oh nice,  SOH CAH TOA   :P

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

SOH CAH TOA is really helpful,  it also reminds me of south pacific for some reason  :D  

Anyway back to math

we want to find an angle and we have the Hyp and the adj sides

to that angle soooo

let's pick CAH since it's got   Adj / Hyp , which we know and will find that unknown angle for us..  :)

Cos(Ф) = Adj / Hyp

Ф = arcCos( adj / Hyp)

Ф = arcCos( 14 /28 )

Ф = arcCos(.5)    ( if you happen to be good with trig functions you can already tell what it's going to be :P  w/o using the calculator)

Ф = 60 °

1a = 60 °

for 1b we know the opp and they hyp and want to find the angle. So let's use SOH  

sin = Opp / Hyp

sin(Ф) = 5/20

Ф = arcSin(5 /20)

Ф = arcSin ( 1/4)

Ф = 14.4775 °

1b = 14 °  ( rounded to nearest degree )