Shadow Length and Flag Pole Height

The video tutorial explains how to determine the height of a flag pole and the length of its shadow using the Pythagorean theorem. The shadow is three times the height of the pole, and the distance from the top of the pole to the end of the shadow is 79 feet. By defining variables and applying the theorem, the quadratic equation is solved to find the height and shadow length, which are then rounded to the nearest tenth.

What is the relationship between the length of the shadow and the height of the flag pole?

• The shadow is twice the height of the flag pole.

• The shadow is three times the height of the flag pole.

• The shadow is equal to the height of the flag pole.

• The shadow is half the height of the flag pole.

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CCSS.HSG.SRT.C.8

What is the distance between the end of the shadow and the top of the flag pole?

• 79 ft

• 80 ft

• 78 ft

• 77 ft

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CCSS.6.EE.B.6

If H represents the height of the flag pole, how can the length of the shadow be expressed?

• H + 3

• H / 3

• 3 * H

• H - 3

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CCSS.8.G.B.8

Which theorem is used to relate the sides of the right triangle formed by the flag pole and its shadow?

• Pythagorean theorem

• Binomial theorem

• Fundamental theorem of calculus

• Remainder theorem

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CCSS.8.G.B.8

What is the equation derived from applying the Pythagorean theorem to this problem?

• h^2 + 3h = 79

• h^2 + 9h^2 = 79^2

• h^2 + 3h^2 = 79^2

• h^2 + 3h^2 = 79

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CCSS.HSA-REI.B.4B

How do you solve the quadratic equation obtained in this problem?

• By completing the square

• By using square roots

• By using the quadratic formula

• By factoring

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CCSS.5.NBT.A.4

What is the approximate height of the flag pole after rounding?

• 24.5 ft

• 23.5 ft

• 25.0 ft

• 26.0 ft

What is the approximate length of the shadow after rounding?

• 75.0 ft

• 73.9 ft

• 74.5 ft

• 74.9 ft

Why is it better to use the unrounded value of H to calculate the length of the shadow?

• It is more accurate.

• It avoids errors.

• It is easier to calculate.

• It is faster to compute.

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CCSS.8.EE.A.2

What mathematical operation is used to find the principal square root?

• Square root

• Subtraction

• Addition

• Multiplication

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CCSS.8.EE.A.2