3d trigonometry gcse exam question practice

Supercharge your learning. So this means we can combine equation 1 and 2to give our 3D Pythagoras equation.

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. Creative Commons "Sharealike". Reviews 5. Select overall rating no rating.

Three satellites leave Earth on three different trajectories. Each side of the triangle BFH is the hypotenuse of one of the three faces of the cuboid.

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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. The apex of the pyramid, E , is directly over the centre of the base. Calculate the perpendicular height of the pyramid. Leave your answer in surd form. If we draw a line from the apex at E down to the centre of the base, then that line represents the perpendicular height, since we know the apex is directly above the centre.

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.

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Search by keyword to find the right resource:. Your personal data will be used to support your experience throughout this website, to manage access to your account, and for other purposes described in our privacy policy. MME Revision Challenge. Calculate the length of DF to 2 decimal places. Confirm Password. Not quite what you were looking for? Other lessons in this series include:. The midpoint M lies half-way between E and F. Each side of the triangle BFH is the hypotenuse of one of the three faces of the cuboid. You may need to carry out this process several times in a question to fully answer what is being asked. Necessary cookies are absolutely essential for the website to function properly. Select overall rating no rating.

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C is the centre of the circle. This topic is relevant for:. Confirm Password. Email address. Still stuck? We can split it in two and find the length of EF by using trigonometric ratios. We want to know the length of FH which is the opposite. To find side-length FH , we need to use trigonometry. We want to find the angle DAE. You must be able to justify which rule or formulae you need to use. Calculate the length of DF to 2 decimal places. You also have the option to opt-out of these cookies. Remember not to round too early. Calculate the angle DAE.