SOLUTION: An ellipse has horizontal axis length of 15 and vertical axis length of 13. Give the positive distance along the MAJOR axis between either vertex and its nearest focus.

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Question 959779: An ellipse has horizontal axis length of 15 and vertical axis length of 13. Give the positive distance along the MAJOR axis between either vertex and its nearest focus.
Answer by lwsshak3(11628) About Me  (Show Source):
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An ellipse has horizontal axis length of 15 and vertical axis length of 13. Give the positive distance along the MAJOR axis between either vertex and its nearest focus.
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Given ellipse has a horizontal major axis.
Its standard form of equation: %28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2=1
Length of major axis=15=2a
a=7.5
a^2=56.25
Length of minor axis=13=2b
b=6.5
b^2=42.25
c^2=a^2-b^2=56.25-42.25=14
c=√14≈3.74
distance between either vertex and its nearest focus=a-c=7.5-3.74≈3.76