Question

PLEASE HELP 50 COINS!!!!

Answer 1

Therefore the measurement of EF,

`EF=1.98\ units`

Explanation:

Given:

In Right Angle Triangle DEF,

m∠E=90°

m∠D=26°

∴sin 26 ≈ 0.44

DF = Hypotenuse = 4.5

To Find:

EF = ? (Opposite Side to angle D)

Solution:

In Right Angle Triangle DEF, Sine Identity,

`\sin D= \frac{\textrm{side opposite to angle D}}{Hypotenuse}\\`

Substituting the values we get

`\sin 26= (EF)/(DF)=(EF)/(4.5)`

Also, sin 26 ≈ 0.44 .....Given

`EF = 4.5* 0.44=1.98\ units`

Therefore the measurement of EF,

`EF=1.98\ units`