Question

Can someone explain this to me?

Answer 1

Answer:

Step-by-step explanation:

a). By applying tangent rule in the triangle,

   tanθ = $\frac{\text{Opposite side}}{\text{Adjacent side}}=\frac{3}{4}$

   θ = $\text{tan}^{-1}(\frac{3}{4})$

   θ = 36.87°

   Therefore, θ < 45°

b). By using cosine rule in this triangle,

   cosθ = $\frac{\text{Adjacent side}}{\text{Hypotenuse}}=\frac{18}{18\sqrt{2}}$

   cosθ = $\frac{1}{\sqrt{2}}$

    θ = 45°

c). By using tangent rule,

  tanθ = $\frac{\text{Opposite side}}{\text{Adjacent side}}=\frac{8}{2}$

  θ = $\text{tan}^{-1}(4)$

  θ = 75.96°

  θ > 45°