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Math Help - Trigonometry Help Given Angles ABC?

  1. #1
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    Trigonometry Help Given Angles ABC?

    I need some help with these Trigonometry functions Thank you so much for taking the time to help me

    1. If Angle A = 56* 40' and b=22ft. find c.

    2. If Angle B = 25* and c = 12 cm find b.

    3. If b = 16.3 ft. and a = 21.7 ft. find Angle A.

    Thank you so much
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  2. #2
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    Quote Originally Posted by mr_quick View Post
    I need some help with these Trigonometry functions Thank you so much for taking the time to help me
    We are to assume that this is a right triangle with right angle C? Otherwise it cannot be done.

    1. If Angle A = 56* 40' and b=22ft. find c.
    b is "adjacent" angle A and c is the hypotenuse. cos(A)= b/c so c cos(A)= b, c= b/cos(A)

    2. If Angle B = 25* and c = 12 cm find b.
    b is "opposite" angle b and c is the hypotenuse. sin(B)= b/c so c sin(B)= b

    3. If b = 16.3 ft. and a = 21.7 ft. find Angle A.
    a is "opposite" and b is "adjacent". tan(A)= a/b so A= arctan(a/b).

    Thank you so much
    The first thing you should learn about trig functions is their definition!

    sin(x)= "opposite"/"hypotenuse"

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

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

    cot(x)= "adjacent"/"opposite"

    sec(x)= "hypotenuse"/"adjacent"

    css(x)= "hypotenuse"/"opposite"
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