Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
2.5k views
in Coordinate Geometry by (47.4k points)
closed by

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.

1 Answer

+1 vote
by (47.8k points)
selected by
 
Best answer

θ = 45°

Coordinate of foot of hill = (19, 3) let equation of line be y = mx + c

m = tan θ = tan 45° = 1

⇒ y = x + c

Substituting y = 3 & x = 19, 3 = 19 + c ⇒ c = -16

∴ Equation of line:

y = x - 16

= x - y - 16 = 0 

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...