Answer:
Therefore, x = 6.76 units
Step-by-step explanation:
Consider a Right angle Triangle Δ ABC at angle C = 90°
AB = Hypotenuse
AC = 7
BC = x
∠ B = 46°
To Find :
x = ?
Solution:
In Right angle Triangle Δ ABC Tangent Identity is given by
[tex]\tan B = \frac{\textrm{side opposite to angle B}}{\textrm{side adjacent to angle B}}[/tex]
Substituting the given values in it we get
[tex]\tan 46 = \frac{AC}{BC}\\ \\\tan 46 =\frac{7}{x} \\\\\therefore x =\frac{7}{\tan 46}\\\\\therefore x = \frac{7}{1.035}\\ \\\therefore x =6.759\\\\\therefore x =6.76\ units[/tex]
Therefore, x = 6.76 units
