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Answered

Find the value of x in the given
right triangle.
10
37°
x = [?]
Enter your answer as a decimal rounded to the
nearest tenth.
Enter

Find the value of x in the given right triangle. 10 37° x = [?] Enter your answer as a decimal rounded to the nearest tenth. Enter class=

Answer :

absor201

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

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