1 / 6

By William Wilson, Matt Smith, Zack LaMantia, Caitlyn Carter

How Tall Is It!!!. By William Wilson, Matt Smith, Zack LaMantia, Caitlyn Carter. William’s 25° Δ Height = 5 feet Base = 30 feet Pace = 2 feet. Tan x= opposite adjacent Tan25= x feet 30 feet 30 (tan 25) = x 13.99 feet ≈ x 13.99 feet + 5 feet = 18.99 feet.

joelle
Download Presentation

By William Wilson, Matt Smith, Zack LaMantia, Caitlyn Carter

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. How Tall Is It!!! By William Wilson, Matt Smith, Zack LaMantia, Caitlyn Carter

  2. William’s 25° Δ Height = 5 feet Base = 30 feet Pace = 2 feet Tan x= opposite adjacent Tan25= x feet 30 feet 30 (tan 25) = x 13.99 feet ≈ x 13.99 feet + 5 feet = 18.99 feet

  3. Tan x = opposite adjacent Tan 30 = x feet 39 feet 39 (tan 30) = x 22.52 feet ≈ x 22.52 feet + 6.25 feet = x 28.77 feet = x 30-60-90 Triangle Long Leg = Short Leg (√3) 39 feet = Short Leg (√3) 39 x √3 √3 √3 = 39√3 3 ≈ 22.52 feet 22.52 feet + 6.25 feet = 28.77 feet Matt’s 30° Δ Height = 6 ¼ feet Base = 39 feet Pace = 3 feet

  4. Zack’s 45˚ Δ Height = 5 ¾ feet Base = 23 feet Pace = 2 1/3 feet Tan x = opposite adjacent Tan 45 = x feet 23 feet 23 (tan 45) = x 23 feet ≈ x 23 feet + 5.75 feet = 28.75 45-45-90 TriangleLeg = Leg Base = 23 feet 23 = 23 23 feet + 5.75 feet = 28.75 feet

  5. Caitlyn’s 60° Δ Height = 5 ½ feet Base = 8 feet Pace = 2 feet Tan x = opposite adjacent Tan 60 = x feet 8 feet 8 (tan 60) = x 13.86 feet ≈ x 13.86 feet + 5.5 feet = 19.36 feet 30-60-90 Triangle Short Leg (√3) = Long Leg 8 (√3) = Long Leg 8√3 ≈ Long Leg 13.86 ≈ Long Leg 13.86 feet + 5.5 feet = 19.36 feet

  6. Conclusion For this project, we went to the football stadium and measured the height of the light on the back support column of the stadium. We used a clinometer and measured angles at 25°, 30°, 45°, and 60° to find the height of this light. On all of these angles we used Trigonometry, using the Tangent function to find the height with the angle and adding our own height to that to find the light’s height. On the 30°, 45°, and 60° we used the rules of Special Right Triangles to find the height of the side against the column and added our height to it. In this project we learned how to apply Trigonometry and Special Right Triangles to the world. We also learned that pace is important because we didn’t all have a 2 foot pace. 18.99 28.77 28.75 +19.36 96.87 96.87÷4 = Average Height = 23.97 feet

More Related