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bogdanovich [222]
3 years ago
14

Find value of x Find value of y

Mathematics
1 answer:
Softa [21]3 years ago
4 0

Answer:

Step-by-step explanation:

use  SOH CAH TOA

Sin = Opp / Hyp

Cos = Adj / Hyp

Tan = Opp / Adj

then we know the adjacent side and the angle, and want to find the Hyp, so use  CAH

Cos(60) = ( 8\sqrt{3}  / 3 ) / Hyp       ( cos(60) = 1/2 )

Hyp = (8\sqrt{3} / 3) / (1/2)

Hyp = 2 ((8\sqrt{3} / 3)

Hyp = 16\sqrt{3} / 3

x =  16\sqrt{3} / 3

Now use SOH

Sin (60) = Opp / 16\sqrt{3} / 3      ( sin(60) = \sqrt{3}/2 )

(16\sqrt{3} / 3)(\sqrt{3}/2) = Opp

16 * 3 / 6  = Opp

8 = Opp

y = 8

:)

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