Question

Here is a cuboid.

Answer 1

Answer:

m(∠CAG) = 35°

Step-by-step explanation:

From the figure attached,

Apply Pythagoras theorem in ΔCAG,

Length of AC = $\sqrt{(27)^2+(36)^2}$

                      = $\sqrt{729+1296}$

                      = $\sqrt{2025}$

                      = 45

Now find the tangent of the given angle CAG,

tan(∠CAG) = $\frac{\text{Opposite side}}{\text{Adjacent side}}$

                  = $\frac{CG}{AC}$

m(∠CAG) = $\text{tan}^{-1}(\frac{31.5}{45} )$

                = $\text{tan}^{-1}(0.7)$

                = 34.992°

                 ≈ 35°