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The angle of eltowards the tower, the angle of elevationfrom the foot of the tower. (3 1.73)of elevatlon of the top of a tower from a point on the ground is 459. On walking 30becomes 60°. Find the height of the tower and original dievati |
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Answer» Let ABC be the tower and D be the distance moved towards the tower. angle ABC= 45 degreeangle ADC= 60 degreeCD = 40mlet height of the tpwer be h metre and BD = x metrefrom triangle ABCtan 45 degree = P/B1 = h/40+xh = 40+x equation 1from triangle ABDtan 60 degree = P/Broot 3= h/ xh= root3x equation 2from 1 and 240+x=root 3x40 =root3x-x40 = x(root3-1)x= 40/root3-1put value of root 3= 1.732x = 40/ 1.732-1x= 40/0.732x= 54.64mput the value of x in equation number 1h= 40 + xh = 40 + 54.64h = 94.64 m (approximately) |
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