Question

find yz.
write your answer as an integer or as a decimal rounded to the nearest tenth.
yz =
submit
work it out
not feeling ready yet? these can help:
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Explanation:

Step1: Identify triangle type and sides

Right triangle \(ZXY\) with \(\angle Z=90^\circ\), hypotenuse \(XY=\sqrt{85}\), \(\angle X=40^\circ\), find \(YZ\) (opposite \(\angle X\)).

Step2: Use sine ratio

\(\sin(40^\circ)=\frac{YZ}{XY}\) → \(YZ=XY \cdot \sin(40^\circ)\)

Step3: Calculate value

\(YZ=\sqrt{85} \cdot \sin(40^\circ) \approx 9.2195 \cdot 0.6428 \approx 6.7\)

Answer:

6.7