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soldi70 [24.7K]
3 years ago
14

Find x in this trigonometry question

Mathematics
1 answer:
IRINA_888 [86]3 years ago
8 0
\tan 61=\dfrac{y}{10}\\
y=10\tan 61\\\\
\cos 55=\dfrac{z}{10 \tan 61}\\
z=10\tan 61\cos 55\\\\
\sin x=\dfrac{10\tan 61\cos 55}{12}\\
\sin x\approx\dfrac{10\cdot1.8\cdot0.57}{12}\\
\sin x\approx0.855\\
x\approx58.76^{\circ}
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