Question

There is a fountain in the centre of a circle park.the distance of the fountain from the boundary of the park is 70 m.what will be the total cost of the fencing the park at the rate of the fencing is ₹50 per metre?(Take π = 3.142) *

Answer 1

Step-by-step explanation:

We imagine a top view to figure the radius of the pool from its circumference. We imagine a

straight-on side view to use trigonometry to find the height.

Define a right triangle whose legs represent the height and radius of the fountain. From the dimensions of the fountain and the triangle, the circumference is C=2πr and the angle satisfies tanϕ=h/r.

Then by substitution,

h=rtanϕ=(

2π

C

)tanϕ

Evaluating

h=(

2π

15.0m

)tan55.0

0

=3.41m

When we look at a three-dimensional system from a particular direction, we may discover a view to which simple mathematics applies