Q. 155.0( 3 Votes )

An arch is

Answer :

Since, the height and width of the arc from the centre is 2m and 8m respectively, it is clear that the length of the major axis is 8m, while the length of the semi- minor axis is 2m.

The origin of the coordinate plane is taken as the centre of the ellipse, while the major axis is taken along the x-axis. Hence, the semi- ellipse can be diagrammatically represented as

The equation of the semi – ellipse will be of the from ……..(1)

Let A be a point on the major axis such that AB = 1.5m.

Draw ACOB.

OA = (4 – 1.5)m = 2.5m

The x – coordinate of point C is 2.5

On substituting the value of x with 2.5 in equation (1), we get,

y2 = 2.4375

y = 1.56(approx.)

Thus, AC = 1.56m

Hence, the height of the arch at a point 1.5m from one end is approximately 1.56m.

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
view all courses

In each of NCERT - Maths

In each of NCERT - Maths

In each of NCERT - Maths

In each of NCERT - Maths

An arch is NCERT - Maths

A rod of length 1RS Aggarwal - Mathematics