Question

An airplane takes off, levels off, and lands according to the diagram shown below. All measurements listed are in kilometers. What is the horizontal distance from the plane’s starting position to its finishing position? Round your answer to the nearest tenth of a kilometer.

Answer 1

13,3km is nearest 10th ( which is the same for 1dp 13.3km) (13.32km 2dp)

Explanation:

Horizontal distance is need for Pythagoras

Reading measurements given left to right we find;

c-b = a

c-b =x

c-a = b

Finding x

5sq - 3sq = xsq

√25 - √9 = √16 = √x

√16 = √x = 4

x = 4

Finding y

7sq - 3sq=ysq

√49-√9=√40 = √y

√40 = √y = 6.32

y = 6.32

Therefore x+y+3 = horizontal distance

4 + 6.32 +3 = 13.32km nearest 10th km is 13.3 km

Answer 2

The answer would be 13.3.

Explanation:

Use the Pythagorean theorem to find the other distances in the 5, 3, x triangle and the 7, 3, y triangle and add those two answers together plus 3 to get your answer.