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3 years ago

SOH-CAH-TOA..............

Mathematics

1 answer:

Kruka [31]3 years ago

8 0

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 )

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Refer the attached figure below.

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