THE TRIGONOMETRIO SHOW

THE TRIGONOMETRIO SHOW

Storyboard Text

  • Welcome viewers to our show! This is TRIGONOMETRIO again for another episode of making math easy. And for today's episode of our show, we will discuss solving different trigonometry problems. So without further ado, let's go!
  • See, guys, it's that easy. So let's move on to our next problem.
  • Good day, viewers! Hi, I'm Uno, and for our first problem, we have here an illustration, so take a closer look and let's find out how to solve this problem.
  • FIND THE AREA OF THIS PIZZA.
  • A = ?
  • To find the area of a circle, you need to know the formula first. The formula for the area isA = πr² The given radius of the pizza is 5 inches. We'll substitute the 5 for the r, so our solution will look like this.A = π(5)²= 3.1416 x 25= 78.54 in²
  • 5 inches
  • Hola soy Dos! For our second problem, we are here at the park. Isn't it amazing? So, as you can see, I am beside a tree and we're going to find out how tall that tree is.
  • Here we are trying to find the height of the tree. The distance between the tree and where I am standing is 6 ft., and the angle from where I'm standing to the tree is 70 degrees. We are going to use the formula of tanθ = Opposite/Adjacent.
  • 70°
  • 6ft.
  • ?
  • X
  • In conclusion, the height of the tree is approximately 16.48 feet. I hope you understand that. Let's move on to the last problem.
  • Solution:tan θ = opp/adjtan(70°)= x/6tan(70°)/1 = x/6 (cross multiply)x = 6 tan 70°x = 16.48 ft.
  • 70°
  • 6ft.
  • ?
  • X
  • In this problem, we are going to find the length of the ladder, and that would be our missing side. To solve the problem, we are going to use the Pythagorean theorem. The formula for the Pythagorean theorem is a²+b²=c².
  • Tres here, greetings! We are now on to our third and last problem. As you can see, we are here at my house. You can see the ladder leaning against the cabinet. And we are going to find out the length of this ladder.
  • a = 6 feet
  • b = 8 feet
  • Our solution will be like this:a² + b² = c²(6)² + (8)² = c²36 + 64 = c²100 = c²√100 = √c210 = cTherefore, the length of the ladder is 10 feet.
  • That's it for our final problem. It is easy, right? I hope you can now solve these kinds of problems on your own.
  • a=6 feet
  • b=8 feet
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