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identify the correct angle for the given trigonometric value. u √346 t …

Question

identify the correct angle for the given trigonometric value.

u
√346
t
15
11
v
(your answer should be a letter)
sin(□) = 0.59136
hint: if you see one side labeled with a√x for some numbers a and x that means you have a√x on that side.

Explanation:

Step1: Recall sine definition

Sine of an angle = opposite/hypotenuse in right triangle.

Step2: Calculate sine for each angle

  • For ∠U: opposite=11, hypotenuse=√346≈18.6. sin(∠U)=11/18.6≈0.59136.
  • For ∠T: opposite=15, hypotenuse≈18.6. sin(∠T)=15/18.6≈0.80645≠0.59136.
  • For ∠V: right angle, sin(90°)=1≠0.59136.

Answer:

U