Question

4.) A television camera at ground level is filming the lift-off of a rocket at a point 800 meters from the launch pad. Let @ be the angle of elevation to the rocket (from the camera) and let s be the distance between the camera and the rocket. a.) Write 0 as a function of s for the period when the rocket is moving vertically. b.) Find de dt and give it in terms of s and ds dt

Answer 1

A S C Consides, socket is at point A, at time to B is the point of lunch pad, c is the point of camera. BL 800m Then, BC =800 m = distance between Camera and Lunch pad. AC=S distance between camera and Rocket. in DABC, ACES Bl= 800 LACB=0. 800 BC cos o S 2 - 800 >> - Corso = AC S √3² - 640000 =) s² sino = cos²o 64 cowo 5 take derivative wort t on equation d Cos o d 8 co =) - Sino dt dt S 800 ds 800 ds s² (sino) It SVS² - 640000 at do dt - Sen det sco ds s dt 11 do dt 11