Questions and Answers
How tall was the pyramid, assuming its faces were inclined at 52 degrees?
52
What was the original length of one of the sides of the Great Pyramid of Giza built with its faces at a 52 degree incline?
230
What is the ratio for sin A written as a fraction in simplest form?
3/2
What is the value of mB to the nearest degree in the previous problem?
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What is the value of x when rounded to the nearest tenth?
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What is the value of x when rounded to the nearest tenth?
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What is the value of x when rounded to the nearest degree?
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What is the value of x when rounded to the nearest degree?
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What is the value of x if sin x = 0.5?
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What is the missing value when cos = 0.2546, rounded to the nearest hundredth of a degree?
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Study Notes
Pyramid Heights and Dimensions
- Ancient Egyptian pyramids predominantly built with faces inclined at a 52-degree angle.
- An archaeologist discovered a pyramid with a square base side length of 82 meters, determining its height at approximately 49 meters when rounded to the nearest meter.
- The Great Pyramid of Giza's original height was about 147 meters; with a 52-degree incline, the original side length of the pyramid was roughly 230 meters when rounded.
Trigonometric Ratios
- The sine ratio for angle A is simplified to 3/2, indicating the relationships between the triangle's sides.
- If angle B in a triangle is calculated from the previous sine ratio, it approximately measures 30 degrees when rounded.
Value of x
- Multiple problems require determining the value of x, with some solutions rounded to the nearest tenth or nearest degree:
- x = 11.5 in one scenario.
- x = 8.3 in another case.
- For angle x, values found include approximately 21 degrees and 59 degrees.
Sine and Cosine Values
- An instance where sin x equals 0.5 calculates x to approximately 30 degrees, a fundamental value in trigonometry.
- Another calculation requires finding the angle where the cosine value is 0.2546, yielding an angle of around 75.25 degrees when rounding to the nearest hundredth of a degree.
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Description
This quiz focuses on solving trigonometry problems related to the height of pyramids, particularly utilizing angles and measurements. It challenges your understanding of the relationship between base length and height in geometric structures. Test your skills and enhance your knowledge in trigonometry concepts.
