Answer: The length of EF is 1.98
Explanation:
Looking at the right angle triangle DEF,
The hypotenuse is DF = 4.5
The adjacent side is DE
The opposite side is EF
The reference angle,# is 26 degrees.
To determine the length of EF, we would apply trigonometric ratio,
Sin# = opposite side/hypotenuse
Sin# is chosen because it contains the side that we want to determine and the given side. It becomes
Sin 26 = EF/4.5
Cross multiplying,
EF = 4.5Sin26 = 4.5 × 0.44 = 1.98