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By using the sine rule, the length d is equal to 28.97 m.
In Mathematics and Geometry, the law of sines is also referred to as sine law or sine rule and it can be defined as an equation that relates the side lengths of a triangle to the sines of its angles.
In Mathematics and Geometry, the law of sine is modeled or represented by this mathematical equation (ratio):
[tex]\frac{sinA}{a} =\frac{sinB}{b} =\frac{sinC}{c}[/tex]
By substituting the given parameters, we have:
sin(43)/d = sin(65)/38.5
By cross-multiplying, we have;
dsin(65) = 38.5sin(43)
0.9063d = 26.2569
d = 26.2569/0.9063
d = 28.97 m.
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