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Question
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.
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
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