Question

Find the length of side AB. Round your answer to the nearest tenth:

Answer 1

Answer:

$\displaystyle 3,1 \approx AB$

Step-by-step explanation:

$\displaystyle \frac{AB}{2} = sec\:50 \hookrightarrow 2sec\:50 = AB \hookrightarrow 3,1114476537... = AB \\ \\ 3,1 \approx AB$

OR

$\displaystyle \frac{2}{AB} = cos\:50 \hookrightarrow ABcos\:50 = 2 \hookrightarrow \frac{2}{cos\:50} = AB \hookrightarrow 3,1114476537... = AB \\ \\ 3,1 \approx AB$

Information on trigonometric ratios

$\displaystyle \frac{OPPOCITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOCITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOCITE} = csc\:θ \\ \frac{ADJACENT}{OPPOCITE} = cot\:θ$

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