The answer is: " 3 m " . The sail is: " 3 meters tall".
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Area of triangle, "A", equals "(1/2)" * (base) * (height) :
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A = (1/2) * b * h ;
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Given: "A = 3.75 m² " ; AND:
"b = 2.5 m " ;
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Solve for "h" ;
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Given: A = (1/2) * b * h ;
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Rearrange the equation to isolate "h" on one side of the equation;
Then, plug in the "known values" to solve for, "h" ;
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Given: A = (1/2) * b * h ;
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Rewrite as:
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A = (b*h) / 2 ;
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Now, multiply EACH side of the equation by "2" ;
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2 *A = { (b*h) / 2 } * 2 ;
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To get: 2A = b * h ;
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Now, divide EACH side of the equation by "b", to isolate "h" on one side of the equation (and ultimately, solve for "h") ;
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2A / b = (b * h) / b ;
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to get: 2A / b = h ; ↔ h = 2A / b ;
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Now, we have: h = 2A / b ; plug in the values given for "A" and for "b" ;
to solve for "h" ;
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h = [ 2*(3.75 m²) ] / 2.5 m = 7.5 m² / 2.5 m = 3 m.
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The answer is: 3 m . The height is: 3 m .
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