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Use a trigonometric ratio to find the value of x. Round your answer to the nearest tenth.

Use a trigonometric ratio to find the value of x. Round your answer to the nearest-example-1

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Explanation:

Refer to the given attachment for your better understanding .

As Per Provided Information

  • AB = x
  • BC = 4
  • Angle formed on A = 60°

We have been asked to determine the value of x .

Using Trigonometric Ratio .


\bf\tan\theta \: = \cfrac{perpendicular}{base}

Substituting the value and let's solve it for x


\longrightarrow\sf \: tan\ {60}^( \circ) = \cfrac{4}{ x} \\ \\ \\ \longrightarrow\sf \: √(3) = \cfrac{4}{x} \\ \\ \\ \longrightarrow\sf \: √(3) * x \: = 4 \\ \\ \\ \longrightarrow\sf \: x \: = \cfrac{4}{ √(3) } \\ \\ \\ \longrightarrow\sf \: x \: = \cfrac{4}{1.732} \\ \\ \\ \longrightarrow\sf \: x = 2.30 \\ \\ \\ \longrightarrow\sf \: x \: = 2.3

Therefore,

  • Required value of x is 2.3

So your answer is (d) 2.3

Use a trigonometric ratio to find the value of x. Round your answer to the nearest-example-1
User Yoonkyung
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