math project

Updated: 5/5/2020

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- Super Olivia needed to save a helpless kitten with her magic ladder.
- The angle of elevation of the ladder is 40 degrees and the tree is 60 ft tall. How long of a ladder does Superhero Olivia need to use? Round to the nearest tenth
- sin 40 = 60
- The ladder needs to be 93.3 ft long
- (x) sin 40 = 60
- x = 93.3 ft
- x
- 60 ft
- X
- 40
- Down the street, a fire had started in a 6-story building and Super Olivia used her magic ladder to stop the fire!
- cos 40 = x
- A 93.3 ft ladder with an angle of elevation of 40 degrees is used to climb a 60 ft tall building. How far away does the base of the ladder need to be from the base of the building? Round to the nearest tenth.
- (93.3) cos 40 = x
- x = 71.5 ft
- The base of the ladder needs to be 71.5 ft away from the base of the building.
- 93.3
- 93.3 ft
- 40
- The fire had caused a power outage, and Super Olivia needed to fix the light with her magic ladder.
- tan y = 75
- A 93.3 ft ladder is used to reach a 75 ft lamplight. What is the angle of elevation from the base of the ladder to the top of the lamplight? Round to the nearest tenth.
- (55.6) tan y = 75
- y = 53.5 degrees
- The angle of elevation is 53.5 degrees.
- 55.6
- 2
- The distance between the base of the ladder and lamplight is 55.6 ft.
- x + (75) = (93.3)
- x = 55.6 ft.
- 2
- x
- 75 ft
- 2
- x