Question

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

Answer 1

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