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16. A tree breaks due to storm and broken part bends so that the top of the tree touches the ground makingan angle 60° with it. The distance between the foot of the tree to the point where the top touchee theground is 12 m. Find the height of the tree |
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Answer» Angle of elevation ( angle CDB)= 30° distance between foot to the point where top touches (DB) = 8cmlet AB = h cm be the height of tree .AC is part of broken tree in rgt triangle CDB TAN60° = CD upon DB1 upon √3 = CB upon 8 CB = 8 upon √3 ................(1)again ,in right triangle CDBCOS 30° = DB upon CD√3 upon 2 = 12 upon CD √3CD= 12CD = 12 upon √3. ..............(2)now total height of tree = AC + CB= CD+CB (because AC=CD)..BY USING (1) AND (2) 12 UPON √3 + 8 UPON √3 12+8 UPON √3 20 upon √3 20√3 upon 3...=8√3 |
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