In a right triangle, angle C measures 40°. The hypotenuse of the triangle is 10 inches long. What is the approximate length of the side adjacent to angle C? 6. 4 inches 7. 7 inches 8. 4 inches 13. 1 inches.

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Answer:

the answer is c uwU

Step-by-step explanation:

Here, base is the length of the side adjacent to angle   and hypotenuse is the longest side of the right angle triangle.

The length of the side adjacent to angle C is 7.67 inches or 7.7 inches. Option B shows the correct length of the side adjacent to angle C.

What is a right-angle triangle?

A right triangle or right-angled triangle is a triangle in which one angle is a right angle i. e. 90 degrees. The relation between the sides and other angles of the right triangle is the basis for trigonometry.

Given that in a right triangle, angle C measures 40°. The hypotenuse of the triangle is 10 inches long.

The attachment shows the right-angle triangle. In the triangle, hypotenuse AC = 10 inches and angle C = 40 degrees.

We need to find the value of BC.

We know that, in a right-angle triangle,

[tex]cos C = \dfrac {BC}{AC}[/tex]

[tex]cos 40^\circ = \dfrac {BC}{10}[/tex]

[tex]BC = 10 \times cos 40^\circ[/tex]

[tex]BC = 7.67 \;\rm Inches[/tex]

Hence we can conclude that the length of the side adjacent to angle C is 7.67 inches or 7.7 inches. Option B shows the correct length of the side adjacent to angle C.

To know more about the right angle triangle, follow the link given below.

https://brainly.com/question/3770177.

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