Which equation would you setup for X?

Question

Here is the triangle since it won't let me attach pictures to the question: https://lh3.googleusercontent.com/K_BWuHRrzuRdfUgBUtpyYucb8CmoE1J-rjC2KDDOo2P9P84ptviQaX0l1TG6Tgw-MXB5zB2Ltv3BJ8XgyTFyqvqq3QNoMqPH6gD5XWLkRpm5bZlU2OCht--MgzbS=w95

A. tan X = 54 / 33

B. tan 33 = x / 54

C. sin 33 = x / 54

D. cos X = 33 / 54

E. cos X = 54 / 33

F. sin X = 33 / 54

Not too sure about this one.

Answer 1

33

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54\ |

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\ x |

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For this question, you just need to apply the right-triangle trigonometry rules.

sin(x) = opposite/hypotenuse = 33/54

cos(x) = adjacent/hypotenuse = ()/54

tan(x) = opposite/adjacent = 33/()

As you can see in the picture, there is a missing side so we can calculate sine. Finding the missing third side isn't too difficult however. Have you heard of the Pythagorean Theorem?

a² + b² = c² (where is c is the hypotenuse or the longest side of a triangle)

33² + b² = 54²

b² = 54² - 33²

b² = 1827

b = 42.743

I will leave the rest of the problem for you to solve. If you have questions, just send me a message!