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Please help. Find the value of x. Round to
the nearest tenth.
Enter the number that belongs in
the green box


Please Help Find The Value Of X Round To The Nearest Tenth Enter The Number That Belongs In The Green Box class=

Sagot :

Answer:

[tex]x =13.7[/tex]

Step-by-step explanation:

Given

See attachment

Required

Find x

The relationship between x, 47 and [tex]17^{\circ}[/tex] is:

[tex]sin(17^{\circ}) = \frac{x}{47}[/tex]

i.e.

[tex]sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]

Solving further:

[tex]sin(17^{\circ}) = \frac{x}{47}[/tex]

Make x the subject

[tex]x = 47 * sin(17^{\circ})[/tex]

[tex]x = 47 * 0.2924[/tex]

[tex]x =13.7428[/tex]

[tex]x =13.7[/tex] --- approximated