Answer:
height = 3000m
Step-by-step explanation:
In order to calculate the height reached by the airplane, you first calculate the distance traveled by the airplane in one minute. The distance is given by:
[tex]d=vt[/tex] (1)
v: speed of the airplane = 100m/s
t: time = 1 min = 60 s
you replace in the equation (1):
[tex]d=(100m/s)(60s)=6000m[/tex]
The distance traveled by the airplane while it is going up, can be considered as a hypotenuse of a rectangle triangle.
The angle at which the airplane started to fly was 30°. Then, you can use the following trigonometric relation to calculate the height:
[tex]sin(30\°)=\frac{height}{d}\\\\height=dsin(30\°)=(6000m)sin(30\°)=3000m[/tex]
hence, the height reached by the ariplane is 3000m
