Question

Question 17

Which statements are true about AFGH?
36
H
F
15
39
G
6
cos H x 0.3846
cos Gs 0.9231
sin Gs 0.9231
tan G = 24
Reply...
Do
Wed Apr 21

Answer 1

Options C and D are the correct options.

Explanation:

Option A

cos(H) = 0.3846

By applying cosine rule in ΔFGH,

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

=
`(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}}`

=
`(15)/(39)`

= 0.3846

False

Option C

sinG = 0.9231

By applying sine rule in ΔFGH,

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

=
`(36)/(39)`

= 0.9231

True

Option D

tanG = 2.4

By applying tangent rule in ΔFGH,

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

=
`(36)/(15)`

= 2.4

True

Therefore, Options C and D are the correct options.