Question

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

Answer 1

The equation of the hill joining the foot and the top hill will be x = 19.

Step-by-step explanation:

See the attached diagram.

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 degrees.

So, AC = AB = h feet (say)

{Since the inclination of the hill with the ground is 45°}

Hence, the coordinates of point B (top of the hill) will be (19, 3 + h).

Therefore, the equation of AB will be x = 19.

Then, the equation of the hill joining the foot and the top hill will be x = 19. (Answer)

Answer 2

Answer:

Step-by-step explanation:

Angle of inclination= slope

45°=1

Points=(19,3)

Equation of the line by slope point form

y-y1= m(x-x1)

y-3= 1(x-19)

x-y-16=0 is the required equation