Question

Determine the value of x. Trigonometry.

Answer 1

Check the picture below.

`\tan(40^o )=\cfrac{\stackrel{opposite}{z}}{\underset{adjacent}{30}} \implies 30\tan(40^o)=z \implies 25.17\approx z \\\\[-0.35em] ~\dotfill\\\\ \cos(65^o )\approx\cfrac{\stackrel{adjacent}{25.17}}{\underset{hypotenuse}{x}} \implies x\cos(65^o)\approx25.17 \\\\\\ x\approx\cfrac{25.17}{\cos(65^o)}\implies x\approx 59.56`

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