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) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{36}{39}[/tex]
= 0.9231
False
Option B
cos(G) = 0.9231
By applying cosine rule in ΔFGH,
cos(G) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{15}{39}[/tex]
= 0.3846
False
Option C
sinG = 0.9231
By applying sine rule in ΔFGH,
sin(G) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{36}{39}[/tex]
= 0.9231
True
Option D
tanG = 2.4
By applying tangent rule in ΔFGH,
tanG = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
= [tex]\frac{36}{15}[/tex]
= 2.4
True
Therefore, Options C and D are the correct options.
