Question

In AGHI, the measure of ZI=90°, the measure of ZG=62°, and GH =96 feet. Find the length of IG to the nearest tenth of a foot.

Answer 1

We have a right triangle we will use a trigonometric function in this case we will use the cosine

`\cos (\theta)=(AS)/(H)`

where

θ=62

AS= adjacent side= x

H=hyphotenuse=96

we substitute the values

`\cos (62)=(x)/(96)`

then we isolate the x

`x=\cos (62)\cdot96=45.06`

round to the nearest tenth of a foot x=45.1 ft