Tour of the city
Storyboard Text
- My name is Christopher 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 to the angle of depression from the window. The height of the building is 3 ft tall and the object below is 10 ft away. Here we use the inverse of sine. Sine-1 = 3/10. The angle of depression is 17.5 degrees.
- x
- 10ft
- 3
- If we look here we are trying to find the height of the light. The length from the light to the bench is 18 ft and the angle from the bench to the post is 30 degrees. We are going to use cosine of 30= x/18. The height of the light is 20.8 ft.
- 30
- x
- 18 ft
- 125ft
- Ooo look at this staircase let’s see the width of these. So the length of this triangle is 125 ft and the angle of elevation is 19 degrees. To find the width ground floor length we will have to use tan19 = 125/x. If we solve this the width of the triangle will be 363ft.
- x
- 19
- oh look it's a fire station I wonder what the length would be of this building if we leaned a ladder to the top of the building. The ladder is 25 ft leaning towards the top of the building which has an angle of depression of 64 degrees. To find the length we would use sine 64= x/25. After we solve this we know the fire station 's length is 22.5ft.
- 64
- 25 ft
- 36
- x
- We are done with the tour. I hope you loved it. Thank you so much!!!
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