SOHCAHTOA Quiz 3

Sine, Cosine and Tangent Practice Problems

Practice Problems

Problem 1) Use SOHCAHTOA to find x in the triangle on the left? Answer cos(63)=adj/hyp = 3/x               cos(63)= 3/x x = 3/(cos(63)) = 6.6 Problem 2)What is the length of HI? Answer HI2+32 = 6.6 2            HI2= 6.62 - 32       HI = 5.88

Problem 3) Use SOHCAHTOA to find  Y in the triangle on the left. Answer tan(55) = y/22         y = tan(55) × 22 31.4 Problem 4) How long is NM? Answer NM2 = 222 + 31.42 = 14967.0                NM = 38.3

What are two distinct ways that you can find x in the triangle on the left? Answer 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)