3 years ago

Find x in this trigonometry question

1 answer:

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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