The tan of angle E is 4/3
Using trigonometric ratio to find the tan E, we need to find the opposite side to angle first. Trigonometric ratio is the ratio between the sides of a right triangle.
Using Pythagorean theorem to find HF
triangle GHF Is an isosceles triangle
therefore;
HF² = √8)² + √8)²
HF)² = 8 + 8
HF = √ 16
HF = 4
Tan E = opp/adj
Tan E = HF/EF
TanE = 4/3
Therefore, the value of HF is 4/3