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- Heres a window and we are trying to find 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 can use the inverse of sine. Sine-1 = 15/17. The angle of depression is 62 degrees.
- My name is mercy I am going for a walk in the city! I want to find out the lengths and angles of different objects in the city using trigonometry.
- x
- 17 ft
- x
- 15 ft
- The height from the second floor window is 8 ft tall and the hypotenuse is 10 ft long. To find the width let’s use Pythagorean theorem. 8^2 plus b^2 =10^2. So this means B = 6. The width of the building is 6 ft.wide.
- Let’s see how wide this building is!!!
- 8 ft
- b
- 10 ft
- 37
- The length from the light to the bench is 5 ft and the angle from the bench to the post is 37 degrees. Let’s use cousin of 37= x/5. The height of the light is 4 ft.
- x
- 5 ft
- I wonder what the length would be of this building if we leaned a ladder to the top of the building. The ladder is 12 ft leaning towards the top of the building which has an angle of depression of 36 degrees. To find the length we would use sine 36= x/12. After we solve this we know the fire station 's length is 7.1 ft.
- 36
- 12 ft
- 36
- x
- 7 ft
- wow look at this staircase let’s find the width of these. So the length of this triangle is 7ft and the angle of elevation 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
- THE END.We are all done, I loved exploring this city and getting to find out new things, I hope you liked it too bye!!!Mercia Miller
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