Question

Trigonometry help got one right need help with another

Answer 1

B.
`(HI)/(GI)`

Explanation:

The trigonometric ratio formula for tangent of any angle in a right triangle is given as:

tan(θ) =
`(opposite)/(adjacent)`

Note: it is the length of the side opposite to the θ, and the length of the side adjacent to θ.

Thus, in the right triangle given, ∆GHI,

θ = <G

The length of side the opposite <G = HI

The length of the side adjacent to <G = GI

Therefore, the equivalent of tan(<G) =
`(HI)/(GI)`