Use a trigonometric ratio to find the value of x. Round your answer to the nearest tenth.
Question
Answer:
Step-by-step explanation:Refer to the given attachment for your better understanding .As Per Provided Information AB = xBC = 4Angle formed on A = 60° We have been asked to determine the value of x .Using Trigonometric Ratio .[tex] \bf\tan\theta \: = \cfrac{perpendicular}{base} [/tex]Substituting the value and let's solve it for x [tex] \longrightarrow\sf \: tan\ {60}^{ \circ} = \cfrac{4}{ x} \\ \\ \\ \longrightarrow\sf \: \sqrt{3} = \cfrac{4}{x} \\ \\ \\ \longrightarrow\sf \: \sqrt{3} \times x \: = 4 \\ \\ \\ \longrightarrow\sf \: x \: = \cfrac{4}{ \sqrt{3} } \\ \\ \\ \longrightarrow\sf \: x \: = \cfrac{4}{1.732} \\ \\ \\ \longrightarrow\sf \: x = 2.30 \\ \\ \\ \longrightarrow\sf \: x \: = 2.3[/tex]Therefore,Required value of x is 2.3 So your answer is (d) 2.3
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