document.write( "Question 1185557: At point A due east to the hut the angle of elevation is 45 degree and at point B due west to the hut the angle of elevation is 30 degree. If the distance of AB is 10 meter then find the height of hut? \n" ); document.write( "
Algebra.Com's Answer #836983 by mananth(16946)![]() ![]() You can put this solution on YOUR website! In triangle ACB angle B = 45 deg\r \n" ); document.write( "\n" ); document.write( "tan 45 = 1 therefore AC =x\r \n" ); document.write( "\n" ); document.write( "In triangle ADC angle D =60 deg\r \n" ); document.write( "\n" ); document.write( "x/(10-x) = tan 60 \n" ); document.write( "x = 10*tan60 - tan 60 *x\r \n" ); document.write( "\n" ); document.write( "x+tan 60x = 17.32\r \n" ); document.write( "\n" ); document.write( "x(1+tan 60)= 17.32\r \n" ); document.write( "\n" ); document.write( "x = 17.32/ (1+tan 60)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 6.34 m\r \n" ); document.write( "\n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |