Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 10th
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The hill in the form of a right triangle has its foot at (19, 3). The inclination of the hill to the ground is 45°. Find the equation of the hill joining the foot and top. - Mathematics

Sum

The hill in the form of a right triangle has its foot at (19, 3). The inclination of the hill to the ground is 45°. Find the equation of the hill joining the foot and top.

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Solution

Slope of AB (m) = tan 45°

= 1

Equation of the hill joining the foot and the top is

y – y1 = m(x – x1)

y – 3 = 1(x – 19)


y – 3 = x – 19

– x + y – 3 + 19 = 0

– x + y + 16 = 0

x – y – 16 = 0

The required equation is x – y – 16 = 0

Concept: Straight Line
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APPEARS IN

Samacheer Kalvi Mathematics Class 10 SSLC Tamil Nadu State Board
Chapter 5 Coordinate Geometry
Exercise 5.3 | Q 6 | Page 230
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