In the empty garden, Janja discovers Master Builder Ariaana's final blueprint for a monument shaped like a regular hexagonal pyramid, where the horizontal ground distance from the central axis to any base vertex is exactly 6.0 meters and a structural support beam connects a base vertex directly to the apex at a 60-degree angle of elevation; to unlock the hidden archive, can she successfully calculate the exact interior and exterior angles of the hexagonal foundation base and determine the total length of the diagonal support beam cutting through the three-dimensional space?
Slajd: 2
Thank you so much! The cut was perfect and my caravan can run again! Please take this blueprint as a token of thanks and hurry, the next stop is to get to the magic tree, and meet Master Builder Ariaana, she left a blueprint there for you and once yo get the answer you'll be done!
Got it, Maya! Based on the blueprint, I checked the angles to prove the smaller frame and the larger frame match perfectly. From there, I used right-angled trigonometry to find that the main frame height h is exactly 72.0 cm. Finally, applying a linear scale factor of 0.35 gives us the precise measurement for your new reinforcement beam b, which needs to be cut to exactly 25.2 cm. Your wagon is ready to be fixed!"
Slajd: 3
Hmm.. so this is the final blueprint and I'm done? This wasn't even that bad, after I send this in I should be able to finish and get out of this comic! Yay!
Janja discovers Ariaana's final blueprint etched directly into the stone floor of an ancient, empty garden. The blueprint details a grand stone monument shaped like a regular hexagonal pyramid. To unlock the final archive secret, Janja must solve two parts of the design. First, she needs to determine the interior and exterior angles of the six-sided hexagonal base to properly align the foundation stones. Second, she must project a flat right-angled triangle into the three-dimensional air of the pyramid to find the exact length of a diagonal support beam running from the top peak down to an outer corner of the base. The blueprint notes that the distance from the center of the base to any outer corner is exactly 6.0 meters, and the beam rises from the ground at a 60-degree angle.
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