Step-by-step 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 .
[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
