The angle of inclination that Maple drove their car is approximately 21.67⁰.
- The rise (vertical distance) is 1480 meters.
- The road (hypotenuse) is 4000 meters.
The sine of the angle of inclination \(\theta\) is given by:
[tex]\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}} = \frac{1480}{4000}[/tex]
Compute the ratio:
[tex]\sin(\theta) = \frac{1480}{4000} = 0.37[/tex]
Take the inverse sine (arcsine) of 0.37 to find [tex]\theta[/tex]
[tex]\theta = \arcsin(0.37)[/tex]
[tex]\theta = \arcsin(0.37) \approx 21.67^\circ[/tex]
So, the angle of inclination that Maple drove their car is approximately 21.67⁰.
