dundiedoo46931 dundiedoo46931
  • 26-03-2021
  • Mathematics
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In ΔFGH, the measure of ∠H=90°, HG = 33, GF = 65, and FH = 56. What ratio represents the cosecant of ∠F?

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MrRoyal
MrRoyal MrRoyal
  • 26-03-2021

Answer:

[tex]Cosec\ F= 1.9697[/tex]

Step-by-step explanation:

Given

[tex]\angle H=90^\circ[/tex]

[tex]HG = 33;\ GF = 65;\ FH = 56.[/tex]

Required

The cosecant of F

See attachment for triangle illustration

Cosecant is calculated as:

[tex]Cosec\theta = \frac{Hypotenuse}{Opposite}[/tex]

So,

[tex]Cosec\ F= \frac{GF}{HG}[/tex]

So, we have:

[tex]Cosec\ F= \frac{65}{33}[/tex]

[tex]Cosec\ F= 1.9697[/tex]

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