document.write( "Question 1036188: Find Height of the statue of liberty's body. $\"some$ \n" ); document.write( "

Algebra.Com's Answer #650845 by MathTherapy(10552) $\"\"$ $\"About$

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Since the entire structure represents a 30-60-90 special triangle, the distance from the boat to the base of the statue (also the SHORTER leg of the triangular structure) is: 
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document.write( "Using 305 - h as the height of the statue's base, the shorter leg: , the angle of elevation  from the boat to the base of the statue, we get h, or height of statue as: \r
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document.write( "Different approach
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document.write( "The hypotenuse (distance from boat to top of statue) can be derived. As this is a 30-60-90 special right triangle, the hypotenuse is: , or 
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document.write( "Difference between angles of elevation: 60 - 41.2, or 
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document.write( "Using height of statue only (h), difference in angles of elevation (), the hypotenuse: , the third angle in that triangle (), and the law of sines, we get: 
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document.write( " ------- Cross-multiplying
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document.write( "h, or height of statue =  \n" );
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