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