10 questionsð¬ð§English
ð Trigonometry SOHCAHTOA â GCSE
Maths · GCSE â practise using sine, cosine and tangent to find missing sides and angles in right-angled triangles
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Questions
In a right-angled triangle, which side is the hypotenuse?
The side next to the marked angle
The side opposite the marked angle
The longest side, opposite the right angle
The shortest side, next to the right angle
20s
Using SOHCAHTOA, what is cos Ξ equal to?
Hypotenuse ÷ adjacent
Opposite ÷ adjacent
Opposite ÷ hypotenuse
Adjacent ÷ hypotenuse
20s
What is the exact value of sin 30°?
â3/2
œ
1
â2/2
20s
You know the opposite side and the hypotenuse and want to find angle Ξ. Which ratio should you use?
Tangent
Cosine
Pythagoras' theorem
Sine
20s
A right-angled triangle has hypotenuse 10 cm and an angle of 30°. How long is the side opposite the 30° angle?
10â3 cm
20 cm
5â3 cm
5 cm
30s
What is the exact value of tan 60°?
1
1/â3
â3/2
â3
20s
In a right-angled triangle, the side adjacent to angle Ξ is 4 cm and the hypotenuse is 8 cm. What is Ξ?
30°
45°
60°
26.6°
30s
You stand 20 m from the base of a tower on flat ground. The angle of elevation to its top is 60°. How tall is the tower?
40 m
10 m
10â3 m
20â3 m
60s
From the top of a 50 m cliff, the angle of depression to a boat is 30°. How far is the boat from the foot of the cliff?
25 m
100 m
50â3 m
50/â3 m
60s
A right-angled triangle has an angle of 60°. The side adjacent to it is 6 cm. How long is the hypotenuse?
6â3 cm
12 cm
3 cm
4â3 cm
30s