1 / 8

Durabrand the Mountain Man

Durabrand the Mountain Man. Solution and Presentation by Mr. Shelden. Here’s our problem. What are the distances between the mountains? We know… ∠BFR = 130° ∠OFR = 130°. Mt. R. Flag. Mt. B. Mt. O. Disclaimer: Not drawn to scale. After Durabrand’s hike we know…. ∠BRO=70°

keilah
Télécharger la présentation

Durabrand the Mountain Man

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Durabrand the Mountain Man Solution and Presentation by Mr. Shelden

  2. Here’s our problem What are the distances between the mountains? We know… • ∠BFR = 130° • ∠OFR = 130° Mt. R Flag Mt. B Mt. O Disclaimer: Not drawn to scale

  3. After Durabrand’s hike we know… • ∠BRO=70° • Since F is in the middle, it bisects ∠BRO. Therefore ∠BRF = 35° and ∠FRO = 35° • Also, FR = 13 miles Mt. R 70° Mt. B F-lag Mt. O

  4. Three pieces of info? • We know two angles and one side. • Triangle sum theorem ∠B=15° • Law of Sines BR = 38.5 BF = 28.8 35° R 13 130° F B

  5. Congruent Triangles? • ∠BFR = 130° = ∠OFR • ∠FRB = 35 ° = ∠FRO • FR = 13 = FR • ∆BFR is congruent to ∆OFR by ASA • Therefore BR = 38.5 = RO BF = 28.8 = FO Mt. R Flag Mt. B Mt. O

  6. Last Triangle - Isoceles • We know BF and FO • They’re the same, so ISOCELES!!!!!! • Since a circle has 360°, ∠F = 100° • Triangle sum theorem ∠B = 40° = ∠O • Law of Sines BO = 44.1 F-lag Mt. B Mt. O

  7. Solution!! • The distance from Mt. B to Mt. R is 38.5, the same as from Mt. R to Mt. O. • From Mt. O to Mt. B it’s 44.1 miles • That’s a perimeter of 121.1 miles. Mt. R Mt. B Mt. O

  8. Questions • Do hikers really do things like this when they’re bored and alone on the trail? • Are these distances accurate for a hiker? • Did you have to use Law of Sines on the last triangle since it was isoceles? • Was this an effective presentation?

More Related