Respuesta :

Answer:  37.3

Work Shown:

sin(angle) = opposite/hypotenuse

sin(40) = 24/x

x*sin(40) = 24

x = 24/sin(40)

x = 37.33737184465

x = 37.3

When you use your calculator, make sure it is in degree mode. One way to check is to compute something like sin(30) and you should get 0.5

unicorn3125

Answer:

                x = 37.3

Step-by-step explanation:

for the specified angle, the ratio of the length of the side that is opposite that angle to the length of the longest side (hypotenuse) of the triangle, it is sine.

[tex]\sin40^o=0.6428[/tex]

From triangle  [tex]\sin40^o=\dfrac{24}x[/tex]

so:

   [tex]0.6428=\dfrac{24}x\\\\0.6428\,x=24\\\\x=24\div0.6428=37.336652....\approx37.3[/tex]

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