Joe is trying to find out how many cubic centimeters of sand he can fit in a hole he dug in his backyard. The size of the hole i
s shown in the diagram. Which of the equations will yield the correct answer?
A) V = 9.1(2.2)(3.8)
B) V = 9.1(2.2 + 3.8)
C) V = 9.1 + 2.2 + 3.8
D) V = 1/2(9.1)(2.2)(3.8)
A) V = 9.1(2.2)(3.8)
B) V = 9.1(2.2 + 3.8)
C) V = 9.1 + 2.2 + 3.8
D) V = 1/2(9.1)(2.2)(3.8)
2 answers:
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Answer:
The original height of the tree is 18 m.
Step-by-step explanation:
Please see attached photo for explanation.
From the diagram, we shall determine the value of 'x'. This can be obtained by using the pythagoras theory as follow:
x² = 5² + 12²
x² = 25 + 144
x² = 169
Take the square root of both side
x = √169
x = 13 m
Finally, we shall determine the original height of the tree. This can be obtained as follow.
From the question given above, the tree was broken from a height of 5 m from the ground which form a right angle triangle with x being the Hypothenus as illustrated in the diagram.
Thus, the original height of the will be the sum of 5 and x i.e
Height = 5 + x
x = 13 m
Height = 5 + 13
Height = 18 m
Therefore, the original height of the tree is 18 m.
