Suav wants to use a sheet of fiberboard 27 inches long to create a skateboard ramp with a 19 ∘ ∘ angle of elevation from the gro
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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.
Given:
The radius, r=4x
The height,
To find the volume of the cone:
The volume of the cone formula is,
Substitute the values of r and h in the above formula we get,
Hence, the volume of the cone is
Thus, the correct option is option D.