Question

What is the approximate value of X? Round to the nearest tenth.

Answer 1

You have to use trigonometry.

To find the angle which is the fartest from the known angle, you use the SINE.

So 6*sin(50°) = 6*0,766 = 6*0,8 = 4,8 cm

Answer C

Answer 2

Find out the value of x.

To prove

By using the trignometric identity

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

As given in the diagram.

`\theta = 50 ^(\circ)`

Perpendicular = x

Hypotenuse = 6

Put in the above identity

`sin\ 50^(\circ) = (x)/(6)`

`sin\ 50^(\circ) = 0.77\ (Approx)`

Put in the above

`x = 6* 0.77`

x = 4.6 cm (Approx)

Therefore Option (c) is correct .