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

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

for the first question it would be the second answer for the second question it would be the third answer and for the third question it would be the first answer

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