Answer:
a] x is less that 45°.
b] x is equal to 45°.
c] x is greater than 45°.
Step-by-step explanation:
a] Use the following equation:
tanΘ = [tex]\frac{opposite side}{adjacent side}[/tex]
(Θ is the x value, we must find the value of x in order to know whether its greater than, less than or equal to 45°)
tanΘ = [tex]\frac{3}{4}[/tex]
Θ = [tex]tan^{-1}[/tex] [tex]\frac{3}{4}[/tex]
Θ = 36.86...°
∴ x is less that 45°.
b] tanΘ = [tex]\frac{opposite side}{adjacent side}[/tex]
tanΘ = [tex]\frac{18}{18}[/tex]
Θ = [tex]tan^{-1}[/tex] [tex]\frac{18}{18}[/tex]
Θ = 45°
∴ x is equal to 45°.
c] tanΘ = [tex]\frac{opposite side}{adjacent side}[/tex]
tanΘ = [tex]\frac{8}{2}[/tex]
Θ = [tex]tan^{-1}[/tex] [tex]\frac{8}{2}[/tex]
Θ = 75.96...°
∴ x is greater than 45°.
