A plane takes off from a local airport. It travels due north at a speed of 400km/h. The wind blows the plane due east at a speed of 50 km/h. How far is the plane from the airport after 1h. Give your answer to one decimal place
To find the distance the plane is from the airport after 1 hour, we can use the Pythagorean theorem to calculate the hypotenuse of a right triangle.
Step 1: Calculate the distance traveled north by the plane:
Distance north = Speed × Time = 400 km/h × 1 hour = 400 km
Step 2: Calculate the distance traveled east by the wind:
Distance east = Speed × Time = 50 km/h × 1 hour = 50 km
Step 3: Use the Pythagorean theorem to find the distance between the plane and the airport:
Distance = √(Distance north² + Distance east²)
Distance = √(400² + 50²)
Distance = √(160000 + 2500)
Distance = √162500
Distance ≈ 403.1 km
Therefore, the plane is approximately 403.1 km away from the airport after 1 hour.