Question

What is the length of segment EG to the nearest

hundredth of a centimeter?
E
13.61 cm
15

Answer 1

EG ≈ 14.09 cm

Explanation:

using the cosine ratio in the right triangle.

cos15° =
`(adjacent)/(hypotenuse)` =
`(FG)/(EG)` =
`(13.61)/(EG)` ( multiply both sides by EG )

EG × cos15° = 13.61 ( divide both sides by cos15° )

EG =
`(13.61)/(cos15)` ≈ 14.09 cm ( to the nearest hundredth )