Respuesta :
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.
