Trig 1
What is the sine ratio.
Opposite over Hypotenuse
What is the tangent ratio
Opposite over adjacent
Which Australian TV show became the most-streamed series in the world in 2025, beating shows like Grey’s Anatomy and Stranger Things?
Bluey
What is the cosine ratio
adjacent over hypotenuse
Tangent
What is this symbol called? θ
Theta
What is an angle of elevation
An angle measured upwards from the horizontal line of sight to an object above.
Which cyclist won the Tour de France seven consecutive times before later being stripped of his titles?
Lance Armstrong
What is an angle of depression?
An angle measured downward from the horizontal line of sight to an object below.
What is Tan(45°)?
1
A 10 m ladder leans against a wall at an angle of 60° with the ground. How high up the wall does the ladder reach?
8.66m
A student stands 20 m from a building. The angle of elevation to the top is 45°. What is the height of the building?
20 m
In the Marvel Cinematic Universe, what is the real name of the superhero Black Panther?
T’Challa
In a right triangle with hypotenuse 12 and angle 60°, what is the length of the adjacent side?
A triangle has a hypotenuse of 10 and an angle of 30°. What is the length of the opposite side?
5
A ladder reaches 9 m up a wall and makes a 45° angle with the ground. How long is the ladder?
Approximately 12.7 m
If tan(θ) = 1.732, what is the value of θ (to the nearest degree)?
60°
At the 2002 Winter Olympics, which Australian athlete won the men’s 1000 m short track speed skating final after all four skaters ahead of him crashed on the final corner?
Steven Bradbury
A drone is flying 50 m above the ground. The angle of depression to a target is 30°. What is the horizontal distance from the drone to the target?
~ 86.6m
A tree casts a shadow 15 m long. If the angle of elevation of the sun is 35°, what is the height of the tree?
~ 10.5m
If the opposite side of a triangle is 8 and the adjacent side is 15, what is the angle θ (to the nearest degree)?
Approximately 28°
A ladder 12 m long leans against a wall making a 70° angle with the ground. How high up the wall does the ladder reach?
Approximately 11.28 m
Which world-famous Australian band was formed by three former members of the 1980s pub rock band The Cockroaches?
The Wiggles
A plane flying at 200 m altitude sees a car at an angle of depression of 25°. What is the horizontal distance between the plane and the car?
Approximately 429 m
A tower is observed from a point 40 m away with an angle of elevation of 50°. What is the height of the tower?
Approximately 47.7 m