Trig
Storyboard Text
- My name is Jamie and I am going to tour the city! Help me figure out the lengths and angles of different objects in the city using trigonometry.
- Here we have a window and we are trying o the angle of depression from the window. The height of the building is 15 ft tall and the object below is 17 ft away. Here we use the inverse of sin. Sin-1 = 15/17. The angle of the window is 62 degrees.
- x
- 17 ft
- 15 ft
- Lets go over to the other side of town and find something new to measure.
- 37
- x
- If we look here we are trying to find the height of the light. The length from the light to the bench is 5 ft and the angle from the bench to the post is 37 degrees. We are going to use cos of 37= x/5. The height of the light is 4 ft.
- 5 ft
- 7 ft
- Ooo look at this staircase let’s see the width of these. So the length of this triangle is 7ft and the angle is 68 degrees. To find the width ground floor length we will have to use tan68 = 5/x. If we solve this the width of the triangle will be 2.8ft.
- x
- 68
- There's a lot of buildings in this town. If you think about it, there is math everywhere you go.
- The End
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