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

$\cos (\theta)=\frac{AS}{H}$

where

θ=62

AS= adjacent side= x

H=hyphotenuse=96

we substitute the values

$\cos (62)=\frac{x}{96}$

then we isolate the x

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

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