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3 years ago

What’s the answer to this problem

Mathematics

2 answers:

MAVERICK [17]3 years ago

7 0

Tan F = DE/EF

EF = DE / Tan 32

EF = 15 / 0.6249

EF = 24.0

Answer

24.0

DedPeter [7]3 years ago

7 0

Use tangent.

$tangent=\dfrac{opposite}{adjacent}$

$\tan(m\angle F)=\dfrac{DE}{EF}$

We have:

$m\angle F=32^o,\ DE=15$

Substitute:

$\tan32^o=\dfrac{15}{EF}\\\\\tan32^o\approx0.6249\\\\\dfrac{15}{EF}=0.6249\\\\\dfrac{15}{EF}=\dfrac{6249}{10000}\ \ \ \ |\text{cross multiply}\\\\6249EF=150000\ \ \ \ |\text{divide both sides by 6249}\\\\EF\approx24$

<h3>Answer: 24.0</h3>

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