Answer:
Step-by-step explanation:
After some number of minutes m, Mohammed's altitude will be ...
40 +10m
and Dana's altitude will be ...
165 -15m
The altitudes will be the same when ...
40 +10m = 165 -15m
25m = 125 . . . . . . . . . . . add 15m-40
m = 5 . . . . . . . . . . . . . . . divide by 25
The height of the two balloons after 5 minutes will be 40+10·5 = 90 ft.
Answer: 108deg
From picture:
10z=pi and m<SPT =6z So we know 20z=2pi or 360deg
Let’s solve:
20z=2pi
z=pi/10
m<SPT=6z=6pi/10=3pi/5 now lets take the angle from radians to degrees by unit conversion:
3pi/5*(180deg/pi)=108deg
So we are given the following system:

Using the first equation again we get: