Question

I’m confused a little please help

Answer 1

Answer:

m∠E = 60°

Step-by-step explanation:

The given information in the diagram are;

The shape of the drawing, ΔEDF = A right triangle

The length of the hypotenuse side opposite the right angle = 16·√46

The length of the leg adjacent to the reference angle ∠E = 8·√46

By trigonometric ratio, we have;

$\dfrac{Adjacent\ leg \ length}{Hypotenuse \ length} = cos\angle E$

Plugging in the values gives;

$cos\angle E = \dfrac{8 \cdot \sqrt{46} }{16\cdot \sqrt{46} } = \dfrac{1}{2}$

∴ m∠E = arccos(1/2)

Using a calculator or from tables or an online trigonometric ratio tool, we have

arccos(1/2) = 60°

∴ m∠E = arccos(1/2) = 60°.