Respuesta :
Answer:
1.31 miles
Step-by-step explanation:
If the plane travel at the inclined direction to reach its maximum height of 3060 feet, then the horizontal plane and the inclined plane makes an angle of 2° with each other.
If we imagine the inclined plane as the hypotenuse of a right triangle and the vertical height it climbs is the perpendicular of the triangle.
Therefore, using trigonometry of a right triangle
[tex]\sin 2 = \frac{\textrm {Verticle height}}{\textrm {Incined path traveled}} = \frac{242}{\textrm {Incined path traveled}}[/tex]
{Since the plane climbed 242 feet at that inclination}
⇒ [tex]\textrm {Incined path traveled} = \frac{242}{ \sin 2} = 6934.19[/tex] feet.
Therefore, the plane traveled 6934.19 feet i.e. [tex]\frac{6934.19}{5280} = 1.31[/tex] miles farther to reach its maximum height. {Since, 1 mile = 5280 feet} (Answer)
The plane travel to reach its maximum height is 1.31 miles.
Given
The plane still climbed in altitude after the bird strike even after they lost thrust on both engines for 19 more seconds reaching a maximum height of 3060 feet.
How to calculate the plane's travel to reach its maximum height?
The formula is used to calculate the plane travel to reach its maximum height in miles is;
[tex]\rm Inclined \ height = \dfrac{Vertical \ height }{Sin\theta}[/tex]
Here, the value of the vertical height is 242 feet at an angle of 2 degrees.
Therefore,
The plane travel to reach its maximum height in miles is;
[tex]\rm Inclined \ height = \dfrac{Vertical \ height }{Sin\theta}\\\\\rm Inclined \ height = \dfrac{242}{sin2}\\\\\rm Inclined \ height = \dfrac{242}{0.03}\\\\\rm Inclined \ height = 6934.19 \ feet\\\\1 \ mile = 5280 \ feet\\\\ Inclined \ height = \dfrac{6934.19}{5280} \ feet\\\\ Inclined \ height =1.31 \ miles[/tex]
Hence, The plane travel to reach its maximum height is 1.31 miles.
To know more about Inclined height click the link given below.
https://brainly.com/question/2293440
