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Consider the right triangle given below. The length of side b to two decimal places is ____ pic attached

Consider the right triangle given below The length of side b to two decimal places is pic attached class=

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MissPhiladelphia
Using the sine rule, below is the solution to the problem given above:

Sine rule 
A = 90 - 25 = 65 
a/sin 65 = 25/sin 90 = 25 
a = 25 sin 65 
= 22.66 

The answer is 22.66. I hope this helps.
calculista

Answer:

[tex]b=22.66\ units[/tex]

Step-by-step explanation:

we know that

In the right triangle ABC

[tex]sin(65\°)=\frac{AC}{AB}[/tex]

in this problem we have

[tex]AB=25\ units[/tex]

[tex]AC=b\ units[/tex]

substitute and solve for b

[tex]sin(65\°)=\frac{b}{25}[/tex]

[tex]b=25*sin(65\°)=22.66\ units[/tex]

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