Question

Help please it’s urgent

Answer 1

The length of side GH = x = 104.28 ft

Rounding off to nearest tenth, we get: x = 104.3 ft

Explanation:

Here, given ∠ I = 90° , ∠ G = 20°

So, the triangle GHI is a RIGHT ANGLED triangle.

Also, IG = 98 feet

Now, using the trigonometric function:

For angle Ф ,
`Cos \theta = (BASE)/(HYPOTENUSE)` (using cos (20°) = 0.93969262078)

Here, base = IG = 98 ft

And hypotenuse = GH = x units

and Ф = 20°

`\implies Cos (20) = (98)/(x) \\\implies (0.93969262078) = (98)/(x)\\\implies x = (98)/( (0.93969262078) ) = 104.28`

or, x = 104.28 ft

So, the length of side GH = x = 104.28 ft

Rounding off to nearest tenth, we get: x = 104.3 ft ( as 8 > 5)