Shadow Length and Flag Pole Height

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.

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

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

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

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

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

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.

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

• Square root

• Subtraction

• Addition

• Multiplication