Question

Just please help me, im trying to cram multiple things at once (house is crazy) and I just cant seem to concentrate and understand these.

Answer 1

Y=31.2
X=15.6

I rounded both to the nearest tenth place.

Answer 2

Answer:

Step-by-step explanation:

here is how you find the answer

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

now apply the above rules to the given triangle

where we are given the angle of 30°  and the Adj side of 27

y is the Hyp of this triangle and x is the Opp side of this triangle, now plug in the given values  as follows

so use CAH   Cos(30) = 27 / Hyp

Hyp = 27 / Cos(30)

Hyp = 27 / ($\sqrt{3}$ / 2)

Hyp = 27 * 2 /  $\sqrt{3}$

Hyp = 54 / $\sqrt{3}$

y = 54 / $\sqrt{3}$

use SOH, since we know the exact value for the Hyp from above

Sin(30) = Opp / ( 54 / $\sqrt{3}$  )

Sin(30) * 54 / $\sqrt{3}$  = Opp

1/2 * 54 / $\sqrt{3}$  = Opp

27 / $\sqrt{3}$  = Opp

x = 27 / $\sqrt{3}$

:)