+0

# A plane flying with a constant speed of 29 passes over a ground radar station at an altitude of 7 km and climbs at an angle of 40 degrees.

+1
61
1
+7

A plane flying with a constant speed of 29 $$\frac{km}{min}$$ passes over a ground radar station at an altitude of 7 km and climbs at an angle of 40 degrees. What is the distance between the radar station and the plane after 4 minutes? At what rate is the distance from the plane to the radar station increasing 4 minutes later?

Apr 4, 2022

#1
+36416
+2

x distance from the station =    s * t  cos 40                    s = speed  ( in km/min)       t = time (in miutes)

y distance from the station =    7 + s*t sin 40

Using distance formula :

d2 = (s t cos 40)2 + (7 + s t sin 40 )2             Given:     s t = 29 * 4 = 116    <===== subst. in and solve for d

Take the derivative with respect to 't'  to find out how fast it is changing at t= 4     <====== can you do that?

Apr 4, 2022