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

The value of x is 55.6 unit.

Option (A) is correct .

Explanation:

Now by using the trigonometric identity

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

`\theta = 20^(\circ)`

Perpendicular = 19

Hypotenuse = x

Put in the identity

`sin\ 20^(\circ)= (19)/(x)`

sin 20° = 0.342

Put in the above equation

`x= (19)/(0.342)`

x = 55.6

Therefore the value of x is 55.6 unit.

Option (A) is correct .