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

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 / (
`√(3)` / 2)

Hyp = 27 * 2 /
`√(3)`

Hyp = 54 /
`√(3)`

y = 54 /
`√(3)`

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

Sin(30) = Opp / ( 54 /
`√(3)` )

Sin(30) * 54 /
`√(3)` = Opp

1/2 * 54 /
`√(3)` = Opp

27 /
`√(3)` = Opp

x = 27 /
`√(3)`

:)

Answer 2

Y=31.2
X=15.6

I rounded both to the nearest tenth place.