GCSE · Pythagoras & right-angled trigonometry

Right-angled trigonometry (SOHCAHTOA)Exam-style questions

Labelling opposite, adjacent and hypotenuse from the angle you are using, choosing the right ratio, finding sides and angles, where the exact values come from, and angles of elevation and depression.

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16 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try

DifficultyAll Level 2 Level 3 Level 4 Level 5

1
Priya stands $45$ m from the foot of a tower on level ground. From her eye, the angle of elevation of the top of the tower is $27°$ .

Priya's eyes are $1.6$ m above the ground.

Work out the height of the tower. Give your answer correct to 1 decimal place.
Level 5 · 4 marksTry it
2
A boat is $130$ m from the base of a vertical cliff of height $58$ m.

Work out the angle of depression of the boat from the top of the cliff. Give your answer correct to 1 decimal place.
Level 5 · 3 marksTry it