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4. Use the diagram below to answer the question

400 meter
50 meters
A hot air balloon is anchored to the ground with 400 meter cables. About how many meters above the ground is the top of the balloon? Round your answer to the nearest meter

397 meters
350 meters
450 meters
403 meters

4. Use the diagram below to answer the question 400 meter 50 meters A hot air balloon-example-1
User Marc Gear
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1 Answer

3 votes

Answer:

≈ 397 m

Explanation:

Using Pythagoras' identity on the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

Let h represent the height of the balloon above ground, then

h² + 50² = 400², that is

h² + 2500 = 160000 ( subtract 2500 from both sides )

h² = 157500 ( take the square root of both sides )

h ≈ 397 m ( to the nearest metre )

User SamGoody
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