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Answer :

Flagpole is 21.7ft tall

Explanation:

From the diagram given:

opposite = x

adjacent = 30 ft

hypotenuse = 37 ft

Using pythagoras' theorem:

Hypotenuse² = opposite² + adjacent²

37² = x² + 30²

1369 = x² + 900

1369 - 900 = x²

x² = 469

x = √469

x = 21.66 ft

To the nearest tenth, x is 21.7 ft

Flagpole is 21.7ft tall