The height of the flagpole to the nearest tenth of a foot is 156.5 ft.
Word Problems Using Pythagoras Theorem:
Word Problems involving the use of the Pythagoras theorem need careful understanding to discern the complexity of the variables given, the using the Pythagoras theorem to solve the eqaution.
The Pythagoras Theorem states that the sum of the squares of the opposite side and the adjacent side is equal to the hypotenuse square.
From the information;
- The large flagpole height = adjacent = x
- The shadow of the flagpole = opposite = 2x
- The hypotenuse = 350 ft
Using the Pythagoras theorem, we have;
hyp² = opp² + adj²
350² = (2x)² + x²
350² = 4x² + x²
122500 = 5x²
x² = 122500/5
x² = 24500
x = √24500
x = 156.5 ft
Therefore, we can conclude that the height of the flagpole is approximately 156.5 ft.
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