Question

A rail road curve is to be laid out on a circle. What radius should be used if the track is to change direction by 25o in a distance of 40 metres?

Solution

Correct option is

91.636 m

 

The angle in radius measure   

If r is the radius of the circle, using , we have  

       

                 

SIMILAR QUESTIONS

Q1

If π/2 < α < π, then the expression  is equal to  

 

Q2

If 0 < θ < π/2 and sin θ + cos θ + tan θ + cot θ + sec θ + cosec θ is equal to 7, then sin 2θ is a root of the equation

Q3

 then tan θ1 tan θ2 tan θ3 tan θ4 is equal to

Q4

 are in

Q5

yz + zx + xy is equal to

Q6

Value of the determinant

      

Q7

x + y + z is equal to

Q8

Find the radian measure corresponding to –37o30’.

Q9

The minute hand of a clock is 10 cm long. How far does the tip of the hand move in 20 minutes?

Q10

 

 Find the minimum and maximum values of