Trigonometry

Sine, cosine and tangent ratios are used to find sides and angles in right-angled triangles.

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This is level 6: using the tangent ratio to find an angle (10 questions). You will be awarded a trophy if you get at least 7 correct and you do this activity online.  Give your answers correct to three significant figures. For the first six questions find the value of $$x$$. Diagrams are not to scale.

 1 2 3 4 5 6 7 Find x. x = ° 8 In triangle ABC the angle at B is 90°. If BC = 33mm and AB = 15mm find the size of the angle at C in degrees. angle C = ° 9 In triangle DEF the angle at E is a right angle. If EF = 31mm and DE = 11mm find the size of the angle at F in degrees. angle F = ° 10 Find the acute angle between the diagonals of a rectangle whose sides are 5cm and 8cm. acute angle = °
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This is Trigonometry level 6. You can also try:
Level 1 Level 2 Level 3 Level 4 Level 5 Level 7 Level 8

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Joseph, Pleasanton

Tuesday, February 28, 2023

"It asked for the acute angle of diagonals in a rectangle with side lengths 3 and 9, so I typed in the answer to arctan(3/9) which is 18.4, but it kept saying I was wrong. Please help!

[Transum: Hi Joseph, I think you have found the angle between a diagonal and one of the sides of the rectangle. Read the question again carefully as that is not what is required.]"

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Description of Levels

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Which Side? - Learn the names of the sides of a right-angled triangle before beginning trigonometry.

Level 1 - Using the sine ratio to find a side (10 questions)

Level 2 - Using the cosine ratio to find a side (10 questions)

Level 3 - Using the tangent ratio to find a side (10 questions)

Level 4 - Using the sine ratio to find an angle (10 questions)

Level 5 - Using the cosine ratio to find an angle (10 questions)

Level 6 - Using the tangent ratio to find an angle (10 questions)

Level 7 - Mixed questions (15 questions)

Level 8 - Review exercise (20 questions)

Exam Style Questions - A collection of problems in the style of GCSE or IB/A-level exam paper questions (worked solutions are available for Transum subscribers).

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