Math trigonometry help please?
2015-12-15 9:32 pm
A tree is splintered by lightning 2 m up its trunk, so that the top of the tree touches the ground. The angle of the top of the tree forms with the ground being 70 degrees. Before it was splintered, how tall was the tree?
回答 (3)
2015-12-15 9:59 pm
length of fallen section = x
sin(70°) = 2/x
x = 2/sin(70°) ≅ 2.13
tree was approximately 4.13 meters
sin(70°) = 2/x
x = 2/sin(70°) ≅ 2.13
tree was approximately 4.13 meters
2015-12-15 9:41 pm
2/R = sin(70) = 0.9397 =>
R = 2.13 ;
Original tree height was 4.13 meters.
R = 2.13 ;
Original tree height was 4.13 meters.
2015-12-15 9:38 pm
sin 70 = 2 / c
c = 2 / sin 70 = 2.128 m
height = 2 + 2.128 m = 4.128 m <<< answer
c = 2 / sin 70 = 2.128 m
height = 2 + 2.128 m = 4.128 m <<< answer
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