Question

In right triangle GHI, ∠H is a right angle, m∠I=42∘, and GH=11.

Answer 1

Answer:

12.22

Step-by-step explanation:

θ = 42°

We solve using Tangent rule of trigonometry.

tan θ = Opposite/Adjacent

GH = Opposite = 11

HI = Adjacent = ?

From the question

tan42∘≈0.90

Hence:

0.90 = 11/HI

HI = 11/0.90

HI = 12.222222222

Approximately = 12.22