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Right-Triangle Trig

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In right triangle $DEF$, we have $\angle D = 25^\circ$, $\angle E = 90^\circ$, and $EF = 9$. Find $DE$ to the nearest tenth. You may use a calculator for this problem.

Apr 22, 2021

Best Answer

#1
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So here's the problem figure

From figure,

$$tan 25 = {EF \over DE}$$

$$0.47={9 \over DE}$$

$$DE=19.15$$

∴ Length of DE is 19.15 cm.

Apr 22, 2021

1+0 Answers

#1
+513
+4
Best Answer

So here's the problem figure

From figure,

$$tan 25 = {EF \over DE}$$

$$0.47={9 \over DE}$$

$$DE=19.15$$

∴ Length of DE is 19.15 cm.

amygdaleon305 Apr 22, 2021