#4 find the value of x. Round answer to nearest tenth.
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Answer:
Step-by-step explanation:
From the given right angle triangle,
The unknown side represents the hypotenuse of the right angle triangle.
With m∠40 as the reference angle,
x represents the adjacent side of the right angle triangle.
4 represents the opposite side of the right angle triangle.
To determine x, we would apply
the Tangent trigonometric ratio.
Sin θ = opposite side/hypotenuse. Therefore,
Tan 40 = 4/x
x = 4/Tan 40 = 4/0.839
x = 4.8