Right Angled Triangles
In a right-angled triangle, which side is always opposite the right angle?
The hypotenuse
What is the standard formula for the area of a triangle using base and height?
1/2×base×height (sinC)
True bearings are always measured from which direction?
North
A person walks 3 km east and 6 km north. What is their bearing from where they started?
030o
What is the capital city of England?
London
If sin θ = ? / Hypotenuse, what is the missing word?
Opposite
Find the area of a triangle with base 10 cm and height 6 cm.
A=1/2×10×6=30 cm2
In which direction is a bearing of 090°?
East
A plane travels 10 km north and 5 km west.
Find the bearing from the starting point to the nearest degree.
tanθ= 5/10
θ=26.6∘
Bearing = 360 − 26.6 = 333°
What colours make up the English flag (St George’s Cross)?
Red and white
A right-angled triangle has an opposite side of 3 and hypotenuse of 5. What does sin θ equal?
3/5 or 0.6
Two sides of a triangle are 8 cm and 10 cm and the included angle is 30o.
Find the area using 1/2 a b sinC
A=1/2(8)(10)sin30∘
A=40×0.5
A=20 cm2
What direction does a bearing of 270° represent?
West
A hiker walks 12 km south and 5 km east.
Find the bearing from the starting point to the nearest degree
tanθ=5/12
θ=22.6∘
Bearing = 180 − 22.6 = 157°
Which famous clock tower is attached to the Houses of Parliament?
Big Ben
In a right triangle, the adjacent side is 8 and the hypotenuse is 10. What is θ to 1dp?
36.9o
A triangle has sides 7 cm and 12 cm with an included angle of 60∘
Find the area to 1dp.
A=1/2(7)(12)sin60∘
A=42×0.866
A=36.4 cm2
A ship travels from a harbour on a bearing of 135°.
What compass bearing describes this direction?
S45°E
A drone travels 15 km north and 9 km east.
Find the bearing from the starting point to the nearest degree
tanθ=9/15
θ=31∘
Bearing = 031°
Which sport originated in England and includes the Ashes series?
Cricket
A ladder leans against a wall making a 60° angle with the ground. If the ladder is 6 m long, how high up the wall does it reach?
5.2 m (6 × sin 60)
Two sides of a triangle are 9 cm and 14 cm with an included angle of 45∘
Find the area.
A=1/2(9)(14)sin45∘
A=63×0.707
A=44.5 cm2
A boat travels on a bearing of 315°. In which general direction is it travelling?
North West
A hiker walks 12 km on a bearing of 030°.
How far north of their starting point are they to 1dp
North distance=12cos(30∘)
= 12×0.866= 10.4 km
This prehistoric stone monument in southern England is believed to be over 4,000 years old and is one of the most famous landmarks in the world.
Stonehenge