3d trigonometry gcse exam question practice

Supercharge your learning. So this means we can combine equation 1 and 2to give our 3D Pythagoras equation. With 3D Trigonometry, there is no trick, you need to solve each section in steps which makes it a harder topic. Find the length of side FCmarked in redto 3 sf.

To find missing sides or angles in 3 dimensional shapes, we need to be very clear which rules and formulae we need to use in order to find different angles and side lengths. You may need to carry out this process several times in a question to fully answer what is being asked. You must be able to justify which rule or formulae you need to use. Includes reasoning and applied questions. Calculate the length of the line AH. We can find the length of FH by using simple trigonometric ratios. Find the length of the line CE.

3d trigonometry gcse exam question practice

Your rating is required to reflect your happiness. It's good to leave some feedback. Something went wrong, please try again later. Empty reply does not make any sense for the end user. Report this resource to let us know if it violates our terms and conditions. Our customer service team will review your report and will be in touch. David Morse's Resources 4. Last updated 17 January Share this Share through email Share through twitter Share through linkedin Share through facebook Share through pinterest. File previews. This carefully selected compilation of exam questions has fully-worked solutions designed for students to go through at home, saving valuable time in class. I usually print these questions as an A5 booklet and issue them in class or give them out as a homework. I also make them available for a student who wants to do focused independent study on a topic.

Using the diagram below, calculate the size of angle BMCto 2 decimal places.

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Supercharge your learning. So this means we can combine equation 1 and 2 , to give our 3D Pythagoras equation. With 3D Trigonometry, there is no trick, you need to solve each section in steps which makes it a harder topic. Find the length of side FC , marked in red , to 3 sf. Firstly, the shape is a cuboid, which means every corner is a right-angle. To find side-length FH , we need to use trigonometry.

3d trigonometry gcse exam question practice

Your rating is required to reflect your happiness. It's good to leave some feedback. Something went wrong, please try again later. Empty reply does not make any sense for the end user. Report this resource to let us know if it violates our terms and conditions. Our customer service team will review your report and will be in touch.

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To find side-length FH , we need to use trigonometry. Question 2: The cuboid shown in the diagram below has the dimensions: 9 cm by 6 cm by 12 cm. We want to know the length of FH which is the opposite. You also have the option to opt-out of these cookies. Find the size of the angle AFH. Find the length of the line CE. Level Jamerican 7 months ago. Weekly online one to one GCSE maths revision lessons delivered by expert maths tutors. You may find it helpful to start with the main trigonometry lesson for a summary of what to expect, or use the step by step guides below for further detail on individual topics. David Morse's Resources 4.

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By finding the value of x , calculate the perimeter of the base of the pyramid, correct to 2 decimal places. Find the length of side FC , marked in red , to 3 sf. We can do this using Pythagoras Theorem:. Calculate the length of EM. File previews. Save for later. By clicking continue and using our website you are consenting to our use of cookies in accordance with our Cookie Policy. Filter by Exam Board. Filter Filters. As we have all three dimensions of the cuboid, we can calculate each value x, y, z as follows:. We can find the length of FH by using simple trigonometric ratios. Sketch and label the second triangle using information from Step 1. Show answer.