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2 If \( Y Z \) is the WANTED SIDE and \( X Z \) is the GIVEN SIDE, whicti ratio of \( \frac{a}{a}=\sin 35,3^{\circ} \) or \( \frac{a}{a}=\cos 35,3^{\circ} \) or \( \frac{a}{a}=\tan 35,3^{\circ} \) will you uve to determine

Ask by Mcfarlane Clark. in South Africa
Mar 12,2025

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You need to use the tangent ratio, so \( \frac{YZ}{XZ} = \tan 35.3^\circ \).

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Mind Expander

To determine the WANTED SIDE \( YZ \) using the GIVEN SIDE \( XZ \) with the angle \( 35.3^\circ \), you'd actually use the tangent ratio. The tangent of an angle in a right triangle is defined as the ratio of the opposite side to the adjacent side. Here, since \( XZ \) is the adjacent side and \( YZ \) is the opposite side, you would apply \( \tan 35.3^\circ = \frac{YZ}{XZ} \). For problem-solving, it's crucial to remember that the sine function relates to the opposite over the hypotenuse, and cosine relates to the adjacent over the hypotenuse. A common mistake here is mixing these ratios, so always ensure you visualize the triangle correctly and identify which side corresponds to the angle you are using.

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