# after an airplane takes off it travels 10.4 km west

## Question

After an airplane takes off, it travels 10.4 km west, 8.7 km north, and 2.1 km up. How far is it from the take-off point?

The final answer to this question is 13.7 kilometers (km)

#### Explanation

We will follow the following steps to solve the problem

Data: Revealed information from the question

If we allow negative x to represent the western direction = 10.4 km .

Then the eastern direction will be, x = – 10.4 km

Along the northern direction, we have y = 8.7 km

We also have z = 2.1 km

Unknown: Unrevealed information

Distance from the takeoff point, S = ?

Formula: The equation that will help us solve the problem

S = √ (x2 + y2 + z2)

#### Solution

We will now apply our data into the formula to solve the problem

S = √ (x2 + y2 + z2) = √ ((-10.4)2 + 8.72 + 2.12)

Which implies that

S = √(108.6 + 75.69 + 4.41) = √188.7

Therefore, the distance from the takeoff point is

S = 13.7 km

Hence, the distance s from the takeoff point is 13.7 kilometers.

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