plane’s sound detector perceives the horn’s sound, the plane has traveled a distance equal to one-half its altitude above the ocean.

If it takes the sound 1.658 s to reach the plane, determine the altitude of the plane. The speed of sound is 343 m/s.
Answer in units of m.

plane’s sound detector perceives the horn’s sound, the plane has traveled a distance equal to one-half its altitude above the ocean. >>

This makes no sense.

yyyup

To determine the altitude of the plane, we need to first find the distance travelled by the sound from the horn to the plane. We can use the speed of sound and the time it takes for the sound to reach the plane.

Given:
Speed of sound (v) = 343 m/s
Time taken for the sound to reach the plane (t) = 1.658 s

We know that distance (d) = speed (v) × time (t). Rearranging the formula, we have:

d = v × t

Substituting the given values, we get:

d = 343 m/s × 1.658 s
d = 568.294 m

The distance traveled by the sound is equal to one-half the altitude of the plane above the ocean. Let's call the altitude of the plane (h).

d = 1/2 × h
568.294 m = 0.5h

To find the altitude (h), we can multiply both sides of the equation by 2:

2 × 568.294 m = 2 × 0.5h
1136.588 m = h

Therefore, the altitude of the plane is 1136.588 meters.