Question

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

Answer 1

Answer

Find out the value of x.

To prove

By using the trignometric identity

$sin\theta = \frac{Perpendicular}{Hypotenuse}$

 As given in the diagram.

$\theta = 50 ^{\circ}$

Perpendicular = x

Hypotenuse =  6

Put in the above identity

$sin\ 50^{\circ} = \frac{x}{6}$

$sin\ 50^{\circ} = 0.77\ (Approx)$

Put in the above

$x = 6\times 0.77$

x =  4.6 cm (Approx)

Therefore Option (c) is correct .

 

Answer 2

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