PART ONE:
You are the facilities engineer for the college. You have received a work order to construct a new sign that can be seen from the freeway on the east side of the college. The freeway runs north/south. The marketing team has written that the best viewing angle would be 6 degrees. You know sign restrictions limit the height of the sign to 90 feet. How far from the freeway do you have to place the sign? When a driver looks up the 6 degrees to see the sign, how far is the sign from the driver? Round both answers to the nearest foot. Use those values and calculate the six associated trigonometric functions. Your boss will be impressed with your report and the sign!
PART TWO:
You are a young, enthusiastic marketing intern. You have leased a spotlight to shine on the new sign. You want to make sure everyone can see it at night. I guess you forgot it is already lighted. The paperwork that came with the spotlight stated that the acceleration r of the light is found by: r=1200secθ(2〖sec〗^2-1). It was also stated that this was equivalent to: r=1200((1+〖sin〗^2 θ)/(〖cos〗^3 θ)). Won’t your boss be thrilled that you can prove that?
Guess what? Your boss now knows your name! Wait! He doesn’t look so good. His face is awfully red and you can see his pulse in his neck. It must be 100 beats per minute. Geez, his blood pressure has to be 200/150! Even though you majored in marketing, you were pretty good at math and you can model his blood pressure for him using the formula: f(t)=A cos(bt)+k. You know that the top number is called the systolic blood pressure and the bottom number is called the diastolic blood pressure. You also know that k is the average of the systolic and diastolic numbers. Oh, and the amplitude is the systolic number minus k. Now you just need to find b. You know two things about the period that will help you find b. First, the period equals 2π/b and, second, the period equals 60/beats per minute divided by current beats per minute. Maybe it will help your boss keep his blood pressure under control if he can calculate it with your model. A graph of the function would be an excellent addition!
PART THREE:
Your boss is now having fun with numbers too! He asked you if you could calculate projectile motion using the formula: R(θ)= (v_(0 )^2 √2)/16 cos〖θ(sin〖θ-cos〖θ)〗 〗 〗 where 〖45〗^o≤ θ≤ 〖90〗^o and v_0=32 feet per second? Guess what? He wants you to graph the function and find the maximum distance R the projectile can travel. He also says he would like you to help him with an experiment to confirm your calculations! What fun!
Place this order with us and get 18% discount now! to earn your discount enter this code: special18 If you need assistance chat with us now by clicking the live chat button.