Question

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

Answer 1

Answer:

FG ≈ 4.86

Step-by-step explanation:

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

Using the cosine ratio in the right triangle

cos46° = $\frac{adjacent}{hypotenuse}$ = $\frac{FG}{EG}$ = $\frac{FG}{7}$

Multiply both sides by 7

7 × cos46° = FG , thus

FG ≈ 4.86 ( to 2 dec. places )