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.

Answer 1

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