Question

A plane is descending towards a runway in New York. The plane is flying at an altitude of 8 miles and is 175 miles from the runway, as measured from the ground. What angle will the plane's path make with the runway? Round your answer to the nearest hundredth.

Answer 1

`\theta = 2.62 degree`

Step-by-step explanation:

As we know that the distance descends by the plane downwards is given as

`h = 8 miles`

Now the horizontal distance covered by the plane is given as

`L = 175 miles`

now we know that

Now as we can see the figure we have to find the angle of the path of the plane with the horizontal

So we know that

`tan\theta = (H)/(L)`

`tan\theta = (8)/(175)`

`\theta = tan^(-1) (8)/(175)`

`\theta = 2.62 degree`