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An airplane takes off, levels off, and lands according to the diagram shown below. All measurements listed are in kilometers. A square sharing a side with a right triangle on its left side and sharing a side with a right triangle on its right side. The square has side lengths of three kilometers. The right triangle on the left side has a base of x kilometers, a height of three kilometers, and a hypotenuse of five kilometers. The right triangle on the right side has a base of y kilometers, a height of three kilometers, and a hypotenuse of seven kilometers. A square sharing a side with a right triangle on its left side and sharing a side with a right triangle on its right side. The square has side lengths of three kilometers. The right triangle on the left side has a base of x kilometers, a height of three kilometers, and a hypotenuse of five kilometers. The right triangle on the right side has a base of y kilometers, a height of three kilometers, and a hypotenuse of seven 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.

An airplane takes off, levels off, and lands according to the diagram shown below-example-1
User Epichorns
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Answer:

13.32 km

Explanation:

x² = 5² - 3² = 25 - 9 = 16

x = √16 = 4

y² = 7² - 3² = 49 - 9 = 40

y = √40 = √5·8 = 2√10

Horizontal distance traveled = x + 3 + y = 4 + 3 + 2√10 ≈ 13.32 km

User Greg Biles
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