Question

Find the value of x. Round to the nearest tenth.


A. 55.6
B. 55.8
C. 6.7
D. 6.5

Answer 1

19/x=sin 20
19/sin 20=x
x=55.5522836

Answer 2

Answer:

The value of x is 55.6 unit.

Option (A) is correct .

Step-by-step explanation:

Now by using the trigonometric identity

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

$\theta = 20^{\circ}$

Perpendicular = 19

Hypotenuse = x

Put in the identity

$sin\ 20^{\circ}= \frac{19}{x}$

sin 20° = 0.342

Put in the above equation

$x= \frac{19}{0.342}$

x = 55.6

Therefore the value of x is 55.6 unit.

Option (A) is correct .