Answer:
b = 148.5052112
Step-by-step explanation:
To find the value of b we will use the trigonometry functions
∵ The triangle is a right triangle
∵ The measure of one of its acute angles = 68°
∵ The length of the side opposite to the angle of measure 68° is b
∴ The opposite side = b
∵ The length of the side adjacent to the angle of measure 68° is 60
∴ The adjacent side = 60
∵ The function tan(x) = [tex]\frac{opposite}{adjacent}[/tex]
∴ tan(68°) = [tex]\frac{b}{60}[/tex]
→ Multiply both sides by 60 to cancel the denominator of the right side
∴ 60 × tan(68°) = b
∴ 148.5052112 = b
∴ b = 148.5052112
