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
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.
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.
The distance between the base of the ladder and lamplight is 55.6 ft.