Question

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

Answer 1

Answer:

x ≈ 8.0

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos37° = $\frac{adjacent}{hypotenuse}$ = $\frac{x}{10}$ ( multiply both sides by 10 )

10 × cos37° = x , thus

x ≈ 8.0 ( to the nearest tenth )

Answer 2

The value of the x is 8 units after applying the cos ratio, which is the ratio of the side adjacent to angle to hypotenuse.

What is a right-angle triangle?

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

We have a right angle triangle shown in the picture.

As we know, the cos is the ratio of the side adjacent to angle to hypotenuse.

cos37 = x/10

x = 10cos37

x = 10(0.79)

x = 7.9 ≈ 8 units

Thus, the value of the x is 8 units after applying the cos ratio, which is the ratio of the side adjacent to angle to hypotenuse.

Learn more about the right angle triangle here:

brainly.com/question/3770177

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