a storm broke a tree and the treetop rested 20m from the base of tree making an angle of 60°with the horizontal.find the height of tree
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Answered by
56
Ello !!
here is your answer !!!
look this attachment :-
solution :-
tan30 ° =. perpendicular/ base
=> 1 / √ 3 = AC / 20
=> AC = 20 / √ 3 --------(1)
sin60 ° = base /. hypotenuse
√ 3 /2 = 20 / AB
AB = 40 / √ 3 -----------:-(2)
tree total height =>. AB + AC
=> 40 / √ 3 + 30 /√ 3
=> 60 /√3
=> 20 √ 3
20 × 1.73
=> 34.6
hence ,. the total height of tree 34 .6
hope it helps you dear !!!
thanks !!
here is your answer !!!
look this attachment :-
solution :-
tan30 ° =. perpendicular/ base
=> 1 / √ 3 = AC / 20
=> AC = 20 / √ 3 --------(1)
sin60 ° = base /. hypotenuse
√ 3 /2 = 20 / AB
AB = 40 / √ 3 -----------:-(2)
tree total height =>. AB + AC
=> 40 / √ 3 + 30 /√ 3
=> 60 /√3
=> 20 √ 3
20 × 1.73
=> 34.6
hence ,. the total height of tree 34 .6
hope it helps you dear !!!
thanks !!
Answered by
60
hope it help you .......
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