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

Answer:

$IG=28.9\ ft$

Step-by-step explanation:

we know that

In the right triangle GHI

$cos(G)=\frac{IG}{GH}$ ----> by CAH )adjacent side divided by the hypotenuse)

substitute the given values

$cos(21^o)=\frac{IG}{31}$

solve for IG

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

see the attached figure to better understand the problem

Answer 2

Answer:

24.6

Step-by-step explanation: