Tamil Nadu Board of Secondary EducationHSC Arts Class 12th

# An engineer designs a satellite dish with a parabolic cross section. The dish is 5 m wide at the opening and the focus is placed 1.2 m from the vertex. Find the depth of the satellite dish at - Mathematics

Sum

An engineer designs a satellite dish with a parabolic cross-section. The dish is 5 m wide at the opening and the focus is placed 1.2 m from the vertex. Find the depth of the satellite dish at the vertex

#### Solution

Use the point (x1, 2.5) in (1)

(2.5)2 = 4(1.2)x1

(2.5)^2/(4(1.2)) = y1

x1 = 1.3 m

∴ The depth of the satellite dish at vertex is 1.3 m

Concept: Real Life Applications of Conics
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#### APPEARS IN

Tamil Nadu Board Samacheer Kalvi Class 12th Mathematics Volume 1 and 2 Answers Guide
Chapter 5 Two Dimensional Analytical Geometry-II
Exercise 5.5 | Q 4. (b) | Page 214
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