Respuesta :

Answer:

Step-by-step explanation:

Triangle IGH is a right angle triangle.

From the given right angle triangle

GI represents the hypotenuse of the right angle triangle.

With m∠I as the reference angle,

HI represents the adjacent side of the right angle triangle.

GH represents the opposite side of the right angle triangle.

To determine Hl, we would apply the tangent trigonometric ratio

Tan θ = opposite side/adjacent side. Therefore,

Tan 42 = 11/HI

0.9HI = 11

HI = 11/0.9

HI = 12.22