Question

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

sin42∘≈0.67
cos42∘≈0.74
tan42∘≈0.90

What is the measurement of HI?
If necessary, round your answer to two decimal places, like this: 42.53

Answer 1

12.22

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