Question

Find GI.Write your answer as an integer or as a decimal rounded to the nearest tenth. GI = ___

Answer 1

In the given right triangle ,

The length GH is,6 .

The angle GHI is 40 deg.

To determine the length GI,

Apply the trigonometric function , tan theta.

$\tan 40^{\circ}=\frac{GI}{6}$$GI=6\times\tan 40^{\circ}$$GI=6\times0.83909$$GI=5.0346$

The length of GI is 5.0346 units.