3D trigonometry (OCR GCSE Maths): Quizzes

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3D trigonometry
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What principles does 3D3D trigonometry use to solve problems?

The same principles as 2D2D trigonometry

Which theorem calculates the length of a side in a right-angled triangle?

Pythagoras' Theorem

What is the hardest part of 3D3D trigonometry problems?

Spotting right-angled triangles

What is the first step to solve a 3D3D trigonometry problem?

Draw it out flat to reduce to 2D2D

How are 3D3D problems simplified?

Breaking into simpler 2D2D problems

In the cheese wedge, with TU=4.9TU=4.9 m and UR=7.8UR=7.8 m, what is TRTR?

9.219.21 m

In the cheese wedge, with QR=2.5QR=2.5 m and TR=9.21TR=9.21 m, what is QTQT?

9.549.54 m

In the cheese wedge example, what is angle QTRQTR?

15.2°15.2°

Which ratio was used to find angle QTRQTR in the cheese wedge?

Tangent

In the tent example, where is pole OPOP positioned?

At the centre of rectangle QRSTQRST

In the tent, if TR=13TR=13 m and OO is at the centre, what is OTOT?

6.56.5 m

In the tent, with OT=6.5OT=6.5 m and OTP=48°\angle OTP=48°, what is OPOP?

7.227.22 m

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