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What is this equation called and how do I do it?

What Is This Equation Called And How Do I Do It class=

Sagot :

Answer:

DE ≈ 40

Step-by-step explanation:

Using the Sine rule in Δ DEF

∠ D = 180° - (58 + 87)° ← sum of angles in a triangle

∠ D = 180° - 145° = 35° , then

[tex]\frac{DE}{sin87}[/tex] = [tex]\frac{EF}{sin35}[/tex] = [tex]\frac{23}{sin35}[/tex] ( cross- multiply )

DE × sin35° = 23 × sin87° ( divide both sides by sin35° )

DE = [tex]\frac{23sin87}{sin35}[/tex] ≈ 40 units ( to the nearest whole number )

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