AlinaY41910 AlinaY41910
  • 25-10-2022
  • Mathematics
contestada

Hello how do I find The measure of side a

Hello how do I find The measure of side a class=

Respuesta :

LegionE470942 LegionE470942
  • 25-10-2022

Solution:

To figure out the value of a, we will use the trigonometric ratio below

[tex]\begin{gathered} sin\theta=\frac{a}{c} \\ \theta=41^0 \\ c=25m \\ sin\theta=\frac{opposite}{hypotenus} \\ S=\frac{O}{H} \end{gathered}[/tex]

By substituting the values, we will have

[tex]\begin{gathered} s\imaginaryI n\theta=\frac{a}{c} \\ \sin41=\frac{a}{25m} \\ a=25\times sin41 \\ a=16.4 \\ a\approx16cm \end{gathered}[/tex]

Hence,

The value of a to the nearest whole number is

[tex]a=16m[/tex]

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