Question

Triangle DEF contains right angle E. If angle D measures 40° and its adjacent side measures 7.6 units, what is the measure of side EF? Round your answer to the nearest hundredth.

Answer 1

$\\ \rm\longmapsto cot40=\dfrac{7.6}{EF}$

$\\ \rm\longmapsto EF=\dfrac{7.6}{cot40}$

$\\ \rm\longmapsto EF=\dfrac{7.6}{1.1}$

$\\ \rm\longmapsto EF=6.909units$

$\\ \rm\longmapstoEF=6.91units$

Answer 2

Answer:

$\displaystyle 6,38\:units$

Step-by-step explanation:

You would set your proportion up as so:

$\displaystyle \frac{7,6}{EF} = cot\:40° → 7,6 = EFcot\:40° → \frac{7,6}{cot\:40°} → 6,3771571969... = EF \\ \\ 6,38 ≈ EF$

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