Answer:
Step-by-step explanation:
Triangle EFG is a right angle triangle.
From the given right angle triangle
EG represents the hypotenuse of the right angle triangle.
With ∠E as the reference angle,
EF represents the adjacent side of the right angle triangle.
FG represents the opposite side of the right angle triangle.
To determine FG, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
13² = 5² + FG ²
FG² = 169 - 25 = 144
FG = √144 = 12
To determine Tan E, we would apply trigonometric ratio
Tan E = opposite side/adjacent side. Therefore,
Tan E = 12/5 = 2.4
