degrees to radians ...
don't forget that there is another angle where in quad II
Here's a problem that I have to do for my pre-cal class:
An architect is using a computer program to design the entrance of a railroad tunnel. The outline of the opening is modeled by the function f(x) = 8 sin x + 2, in the interval 0 ≤ x ≤ pi, where x is expressed in radians.
Solve algebraically for all values of x in the interval 0 ≤ x ≤ pi, where the height of the opening, f(x), is 6. Express your answer in terms of pi.
If the x-axis represents the base of the tunnel, what is the maximum height of the entrance of the tunnel?
I thought I should set f(x) to 6 and solve the equation, which I did, and I got 30 as my answer. But that doesn't make sense because the answer is supposed to expressed in terms of pi, and is supposed to be less than pi. I don't know how else to solve this problem, if anyone could help that would be great! Thanks
oh wait! what about the second part of the problem, how to find the maximum height of the tunnel? If the function was just 8 sin x then I think it would be 8, but since it's 8 sin x + 2 I'm not sure where the 2 figures in. Would that make it 10? Or I could be completely off. How do you find the max. height of the tunnel?