Question

What is the approximate value of x in the diagram below? use one of the trigonometric ratios in the table.

Answer 1

39.59 - apex

Explanation:

Answer 2

Option (c) is correct.

The approximate value of x in the diagram is 39.59

Explanation:

We are given a right angled triangle we have to find the value of x,

Consider the trigonometric ratio,

`\sin \theta=(Perpendicular)/(Hypotenuse)`

taking
`\theta =43^(\circ)`

Then perpendicular is the side of length 27 and hypotenuse is x ,

Substitute, we get,

`\sin 43^(\circ)=(27)/(x)`

Solving for x , we get,

`\Rightarrow x=(27)/(\sin 43^(\circ))`

From the given table
`\sin 43^(\circ)=0.682`,we get,

`\Rightarrow x=(27)/(0.682)`

`\Rightarrow x=39.589` (appox)

Thus, the approximate value of x in the diagram is 39.59

Option (c) is correct.