Answer:
34.836
Step-by-step explanation:
sin(C)=opp/hyp=16/28=4/7
C= inverse sin = 34.836 deg
The angle of the right-angled triangle using trigonometric ratio is 34.84°.
Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.
For the given situation,
The diagram shows the right-angled triangle.
The hypotenuse side, h = 28
The perpendicular side, p =16
The trigonometric ratio that relates hypotenuse side and the perpendicular side is sine θ.
[tex]Sine \theta=\frac{perpendicular}{hypotenuse}[/tex]
⇒ [tex]Sine\theta = \frac{16}{28}[/tex]
⇒ [tex]Sine \theta=0.5714[/tex]
⇒ [tex]\theta = Sine^{-1} (0.5714)[/tex]
⇒ [tex]\theta = 34.84[/tex]
Hence we can conclude that the angle of the right-angled triangle using trigonometric ratio is 34.84°.
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