Thread: Trig derivative applications

Hi,

I'm having trouble with the following two questions which are applications of trig derivatives:

1) A rocket is moving into the air with a height function given by . A camera located 150 m away from the launch site is filming the launch. How fast must the angle of the camera be changing with respect to the horizontal 4 seconds after lift off?



2) The base of an isosceles triangle is 20 cm and the altitude is increasing at the rate of 1 cm/min. At what rate is the base angle increasing when the area is


I'm very confused with the two question[/FONT]s, and am not even sure where to start. Any helpful tips/suggestions would be greatly appreciated..


Thanks

Originally Posted by spoc21

Hi,

I'm having trouble with the following two questions which are applications of trig derivatives:

1) A rocket is moving into the air with a height function given by . A camera located 150 m away from the launch site is filming the launch. How fast must the angle of the camera be changing with respect to the horizontal 4 seconds after lift off?



2) The base of an isosceles triangle is 20 cm and the altitude is increasing at the rate of 1 cm/min. At what rate is the base angle increasing when the area is

1) let = camera angle



take the time derivative and determine the value of when

2) let = base angle

= altitude



same drill ... take the time derivative and determine when