Question

In ΔGHI, the measure of ∠I=90°, the measure of ∠G=21°, and GH = 31 feet. Find the length of IG to the nearest tenth of a foot.

Answer 1

24.6

Explanation:

Answer 2

`IG=28.9\ ft`

Explanation:

we know that

In the right triangle GHI

`cos(G)=(IG)/(GH)` ----> by CAH )adjacent side divided by the hypotenuse)

substitute the given values

`cos(21^o)=(IG)/(31)`

solve for IG

`IG=cos(21^o)(31)=28.9\ ft`

see the attached figure to better understand the problem