Question

Find the value of each variable using sine and cosine. Round your answer to the nearest tenth.

Answer 1

Explanation:

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

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n= Hyp

m= adj

8 = Opp

∠=50°

sin(50) = 8/n

n = 8/sin(50)

n = 10.44325

n= 10.4 ( to nearest 10th)

tan(50) = 8 / m

m = 8 / tan(50)

m = 6.712797

m = 6.7 ( to nearest 10th )

:)