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Answer :

Answer:

x = 6.0

Step-by-step explanation:

As the given triangle is a right-angled triangle, we can use the trigonometric ratios to find the required length.

In the given triangle

Hypotenuse = 10

Perpendicular = x

Angle = 37°

As we know the value for perpendicular and hypotenuse, sine will be used.

[tex]sin\ 37 = \frac{Perpendicular}{Hypotenuse}\\sin\ 37 = \frac{x}{10}\\0.6018 = \frac{x}{10}\\x = 0.6018*10\\x = 6.018[/tex]

Rounding off to nearest tenth

x = 6.0

Hence,

x = 6.0