To find the length from the bottom to the top of the Great Pyramid of Giza using the sine ratio, we can use the following relationship:
\[ \sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}} \]
In this case:
- The "opposite" side is the height of the pyramid (481 feet).
- The "hypotenuse" is the length from the bottom to the top of the pyramid, which we want to find.
- The angle \( \theta \) is approximately 52 degrees.
Rearranging the sine formula gives us:
\[ \text{hypotenuse} = \frac{\text{opposite}}{\sin(\theta)} \]
Substituting the known values:
\[ \text{hypotenuse} = \frac{481}{\sin(52^\circ)} \]
First, we need to calculate \( \sin(52^\circ) \):
\[ \sin(52^\circ) \approx 0.7880 \quad (\text{using a calculator}) \]
Now, calculate the hypotenuse:
\[ \text{hypotenuse} \approx \frac{481}{0.7880} \approx 610.9 \]
Rounding to the nearest foot, we find that the length from the bottom to the top of the pyramid is approximately 611 feet.
The correct answer from the options provided is:
b. 610 feet
1 answer