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Find the length of AC¯¯¯¯¯¯¯¯A. 33.13B. 377.19C. 378.63D. 2.89

Find the length of AC¯¯¯¯¯¯¯¯A. 33.13B. 377.19C. 378.63D. 2.89-example-1
Find the length of AC¯¯¯¯¯¯¯¯A. 33.13B. 377.19C. 378.63D. 2.89-example-1
Find the length of AC¯¯¯¯¯¯¯¯A. 33.13B. 377.19C. 378.63D. 2.89-example-2

1 Answer

5 votes

The trigonometry ratios are


\begin{gathered} SinD=(AK)/(KD) \\ \\ tanD=(AK)/(AD) \\ \\ tanK=(AD)/(AK) \\ \\ cosK=(AD)/(KD) \end{gathered}

AD = 31

AK = 24

Since we do not have the length of KD, then

The value of sinD and cosK are wrong

Let us find tanD and tanK to check which one is right


tanD=(24)/(31)

But the given value is 31/24, then tanD is wrong


tanK=(31)/(24)

It is the same with the given value

The correct option is C

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