Trig city pt 3?
טקסט Storyboard
- שקופית: 1
- ?
- 60°
- 50°
- 12°
- wow thats cool to know!
- we know a triangle always adds up to 180 degrees. So I add the two given angles 50° and 60° which = to 110°.Then I subtract 110° from 180° which gives me 70°.So the missing angle is 70°.
- שקופית: 2
- 60°
- 40°
- This triangle has angles 40° and 60° and one side is 10 ft. How do we find another side?
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- 10°
- שקופית: 3
- 60°
- 40°
- First add the two known angles, 40° and 60°, which equals 100°.Then subtract from 180°, so the missing angle is 80°.Now you need to use Law of Sines because this is an angle side pair. set up ratio using the known side of 10 ft and solve for the missing side. Finally cross multiply and divide to isolate the variable.After solving you’ll get 6.5 ft for the missing side.
- 80°
- שקופית: 4
- 7ft
- 9ft
- 60
- ?
- שקופית: 5
- 7ft
- 9ft
- we know that we have two sides 7 ft and 9 ft and the included angle of 60° use Cosines to plug everything into the formula: c² = 7² + 9² − 2(7)(9)cos(60°).Then simplify step by step square the numbers multiply the terms and use cos(60°) = 0.5. This gives me c² = 67.Finally, I take the square root of 67 which gives you 8.2 ft for the missing side.
- 60
- 8.2 ft
- שקופית: 6
- this place is pretty scketch out of all the spots i went to in this city
- 5ft
- 6ft
- 7ft
- even though i want to find out the mountian angle i know that the sides are 5ft, 6ft, and 7ft
- שקופית: 7
- 78.5
- 5ft
- 6ft
- 7ft
- שקופית: 0
- we know the two sides of this tower wgich is 7ft and 9ft and the angle bewteen them is 60° how can i find the 3rd side?
- all three sides are already given so you should use the Law of Cosines to find an angle.After that plug the values into the formula: cos(C) = (5² + 6² − 7²) / (2 × 5 × 6).Then simplify the squares and subtract step by step which gives you cos(C) = 0.2.Next take the inverse cosine to find the angle, which the answer is78.5°.
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