 Hello and welcome to the session. In this session we will discuss equation which says that a giant ferris wheel has a height of 64.75 meters and a diameter of 60.96 meters. It makes a revolution every 4.25 minutes. The equation A is equal to 30.48 sine of 2 tile upon 4.25 into T the whole plus 34.27 shows the relationship between the altitude reached by the ferris wheel and time in minutes. In what time the wheel will reach the altitude of 60 meters. Now before starting the solution of this question we should know a result and that is definition of sin inverse which is y is equal to theta when theta belongs to the closed interval minus pi y. Now this result will work out as a key idea for solving out the given question. Now let us start with the solution of the given question. Now here we have given equation of the model as A is equal to sine upon 4.25 into T the whole plus 34.27 altitude reached by the ferris wheel is the time in minutes. In what time the wheel will reach the altitude of 60 meters. It means we have to find 1 T meters. Now let this equation be equation number 1. So putting equal to 60 in equation number 1 we get T is equal to 30.48 into sine 4.25 into T the whole plus 34.27 this equation 30. Now this implies 60 minus 34.27 is equal to 30.48 into sine of 2 pi upon 4.25 into T the whole and this further implies 3.73 is equal to 30.25 into sine of 2 pi upon 4.25 into T the whole. Now divide by 30.48 and 70 upon that is equal to T the whole. Now from the key idea we know the definition of sine inverse. So by definition of sine inverse we have sine inverse of 25.73 upon 30.48 the whole is equal to 2 pi upon 4.25 into sines by 4.25 upon 2 pi we get 4.25 upon 2 pi into sine inverse of 25.73 upon 30.48 the whole is equal to now using calculator the upon 30.48 is approximately equal to 0.844 upon 2 pi into sine inverse of 0.844 and using scientific calculator sine inverse of 0.844 is approximately equal to 57.1 upon 2 pi upon 180 degrees now again using calculator this is approximately equal to 0.6795 I think T is equal to 0.5 minutes approximately so here T is approximate minutes thus we reaches altitude of 60 meters in 0.68 minutes approximately you have to give a question that's all for this session hope you all have enjoyed the session