Answer:
[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
Figure XYZ is a right-angled triangle where:
Length XZ = hypotenuse
∠Y = Right angle of 90°
According to Angle X (∠X):
Length ZY = Perpendicular
= Opposite
Length XY = Base
= Adjacent
Trigonometric function tanФ is the ratio of perpendicular to base OR opposite to adjacent:
∴ Tan X = [tex]\frac{Length ZY}{Length XY}[/tex]
= [tex]\frac{15}{20}[/tex]
[which simplifies to (after being simplified by the highest common factor of 5)]
= [tex]\frac{3}{4}[/tex]
∴Option B
