An aeroplane leaves the point X (43°N,71°W) and flies due east at 500km/h.After 3hours (a)how far has it travelled (b)what is its longitude?

A. Speed= distance/time

: Distance=speed × time
= 500 × 3
= 1500kmhr
B. Circumference of latitude=2πr
Where r = RCOS(lat)
= 2×22/7×6400×cos43°
= 281600×0.731354
=29,421.33km
To find the longitude
1500/29421.33 × 360=18.4°
Longitude=71° - 18.4 =52.6°

To find the distance traveled by the plane, we can use the formula:

Distance = Speed * Time

Given that the speed of the plane is 500 km/h and it has flown for 3 hours, we can plug in these values into the formula:

Distance = 500 km/h * 3 h = 1500 km

Therefore, the plane has traveled 1500 kilometers.

Next, to determine the longitude of the plane, we need to calculate the change in longitude. Since the plane is flying due east, the longitude remains the same.

Therefore, the longitude of the plane is still 71°W.

To answer these questions, we can use basic principles of trigonometry and distance formula calculations. Here's how to get the answers step-by-step:

(a) How far has the airplane traveled?
To calculate the distance traveled by the airplane, we can use the formula:

Distance = Speed × Time

Here, the speed of the airplane is given as 500 km/h, and the time is given as 3 hours.

Distance = 500 km/h × 3 h
= 1500 km

Therefore, after 3 hours, the airplane has traveled a distance of 1500 kilometers.

(b) What is its longitude?
Since the airplane is flying due east, its longitude remains unchanged. The longitude is given as 71°W. Therefore, after 3 hours, the airplane's longitude remains 71°W.

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