Question

How do I answer this, and how do I know whether to use sin, cos, or tan?

Answer 1

FG ≈ 4.86

Explanation:

From the diagram FG is adjacent to 46° and EG is the hypotenuse.

Using the cosine ratio in the right triangle

cos46° =
`(adjacent)/(hypotenuse)` =
`(FG)/(EG)` =
`(FG)/(7)`

Multiply both sides by 7

7 × cos46° = FG , thus

FG ≈ 4.86 ( to 2 dec. places )