Question

I’m confused a little please help

Answer 1

m∠E = 60°

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;

`(Adjacent\ leg \ length)/(Hypotenuse \ length) = cos\angle E`

Plugging in the values gives;

`cos\angle E = (8 \cdot √(46) )/(16\cdot √(46) ) = (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°.