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Please help! If the telescope is 9 m deep and 12 m wide, how far is the focus from the vertex?
Solution:
Depth of the Telescope = 9 m
Width of the telescope = 12 m
The shape of the telescope is parabola
Parabolic equation is x2 = 4ay
Here x = 9 and y = 6
92 = 4 × a × 6
By further calculation
81 = 24a
a = 81/24
So we get
a = 27/8
a = 3.375 m
Therefore, the focus is 3.375 m far from the vertex.
Please help! If the telescope is 9 m deep and 12 m wide, how far is the focus from the vertex?
Summary:
Please help! If the telescope is 9 m deep and 12 m wide, the focus is 3.375 m far from the vertex.
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