Q. 23.7( 34 Votes )

An arch is

Answer :

The origin of the coordinate plane is taken at the vertex of the arch in such a way that its vertical axis is along the negative y –axis.


This can be diagrammatically represented as



The equation of the parabola is of the form x2 = -4ay (as it is opening downwards).

It is given that at base arch is 10m high and 5m wide.

Therefore, y = -10 and x = 5/2 from the figure above.

It can be clearly seen that the parabola passes through point




Therefore, the arch is in the form of a parabola whose equation is


We need to find width, when height = 2m.

Therefore, to find x, when y = -2.

When, y = -2,



Hence, when the arch is 2m from the vertex of the parabola, its width is approximately 2.23m.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

A parabolic refleRS Aggarwal - Mathematics

A beam is supportRS Aggarwal - Mathematics

The towers of briRS Aggarwal - Mathematics