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leahelixabeth8973
10.12.2021 •
Mathematics
A tree is broken in a storm. The broken part bends so that the tree top
touches the ground making an angle of 30° with the ground. The
distance between the foot of the tree and the point where it touches
the ground is 6 m. The current height of the tree is?
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Ответ:
Cost of shrubs = 23
Cost of tree = 47
Step-by-step explanation:
Let
Cost of shrubs = x
Cost of tree = y
13x + 4y = 487 (1)
6x + 2y = 232 (2)
Multiply (2) by 2
12x + 4y = 464 (3)
13x + 4y = 487 (1)
Subtract (3) from (1)
13x - 12x = 487 - 464
x = 23
Substitute x = 23 into (2)
6x + 2y = 232 (2)
6(23) + 2y = 232
138 + 2y = 232
2y = 232 - 138
2y = 94
y = 94/2
= 47
y = 47