Answer: 12.22
Step-by-step explanation:
Since it is a right angled triangle, we use the trigonometry method of solving triangles for this question.
The given angle is 42° and we recall our trigonometry functions of
Sin Φ = opposite/hypotenuse
Cos Φ= adjacent/hypotenuse
tan Φ = opposite/adjacent
Where
Φ =42°
Opposite of the angle = GH = 11
Adjacent of the angle = HI = ?.
Hence we use the tan Formula.
tan 42 = 11/HI
HI = 11/tan42
HI = 11/0.90
HI = 12.22
