Question

Question 17

Answer 1

Answer:

Options C and D are the correct options.

Step-by-step explanation:

Option A

cos(H) = 0.3846

By applying cosine rule in ΔFGH,

cos(H) = $\frac{\text{Adjacent side}}{\text{Hypotenuse}}$

           = $\frac{36}{39}$

           = 0.9231

False

Option B

cos(G) = 0.9231

By applying cosine rule in ΔFGH,

cos(G) = $\frac{\text{Adjacent side}}{\text{Hypotenuse}}$

           = $\frac{15}{39}$

           = 0.3846

False

Option C

sinG = 0.9231

By applying sine rule in ΔFGH,

sin(G) = $\frac{\text{Opposite side}}{\text{Hypotenuse}}$

          = $\frac{36}{39}$

          = 0.9231

True

Option D

tanG = 2.4

By applying tangent rule in ΔFGH,

tanG = $\frac{\text{Opposite side}}{\text{Adjacent side}}$

        = $\frac{36}{15}$

        = 2.4

True

Therefore, Options C and D are the correct options.