Question

What’s the answer to this problem

Answer 1

Tan F = DE/EF

EF = DE / Tan 32

EF = 15 / 0.6249

EF = 24.0

Answer

24.0

Answer 2

Use tangent.

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

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

We have:

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

Substitute:

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

Answer: 24.0