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

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

Find the value of x. Round to the nearest tenth. A. 55.6 B. 55.8 C. 6.7 D. 6.5-example-1
User DaFoot
by
8.3k points

2 Answers

4 votes
19/x=sin 20
19/sin 20=x
x=55.5522836

User Nuno Ferro
by
7.9k points
4 votes

Answer:

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 .

User Adentum
by
8.3k points

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