Answer:
∠V = 12.68°
Step-by-step explanation:
In this question, we are tasked with calculating the value of the sine of ∠V to the nearest hundredth
Kindly note that since one of the angles in the triangle equals 90°, then we are dealing with a right-angled triangle.
PLEASE VIEW ATTACHMENT TO SEE THE DIAGRAM OF THE SHAPE
Mathematically, to calculate the sine of an angle in a triangle, the ratio to use is
Sine of an angle = length of side facing angle/length of hypotenuse = opposite/Hypotenuse
From the diagram, we can see that the length of the opposite is 9 while the length of the hypotenuse is 41
Sine V = 9/41
V = arcsin (9/41)
V = arcsin (0.2195)
V = 12.68° to the nearest hundredth
The value of the cosine of ∠V is 0.98
The given parameters are:
The cosine of V is calculated using:
cos(V) = WV/VU
So, the equation becomes
cos(V) = 40/41
Evaluate
cos(V) = 0.98
Hence, the value of the cosine of ∠V is 0.98
Read more about right triangles at:
https://brainly.com/question/2217700
