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SOHCAHTOA Quiz 3
Sine, Cosine and Tangent Practice Problems
Practice Problems
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Problem 1) Use SOHCAHTOA to find x in the triangle on the left?
cos(63)=adj/hyp = 3/x
cos(63)= 3/x x = 3/(cos(63)) = 6.6
Problem 2)What is the length of HI?
HI2+32 = 6.6 2
HI2= 6.62 - 32
HI = 5.88
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Problem 3) Use SOHCAHTOA to find Y in the triangle on the left.
tan(55) = y/22
y = tan(55) × 22 31.4
Problem 4) How long is NM?
NM2 = 222 + 31.42
= 14967.0
NM = 38.3
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What are two distinct ways that you can find x in the triangle on the left?
Method 1 Use SOHCAHTOA and set up a ratio such as sin(16) = 14/x
(From here solve for X) By the way, you could also use cosine.
Method 2: Set up the following equation using the pythagoren theorem: x2=482+142
(From here solve for X)
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