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Cambridge IGCSE Mathematics practice

MCQ practice - Understand and apply the sine, cosine, and tangent ratios for acute angles in right-angled triangles, with angles provided in degrees and answers expressed in degrees to one decimal place. Solve two-dimensional problems using Pythagoras' theorem and trigonometry, which may involve bearings. Recognize that the shortest distance from a point to a line is the perpendicular distance. Perform calculations related to angles of elevation and depression. - Right-angled triangles

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At a glance

MCQ

Type

cambridge_mcq

Style

Topic

Right-angled triangles

Exam-style question

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A right-angled triangle has an angle of 30°. Which trigonometric ratio would you use to find the length of the side opposite this angle if the hypotenuse is known?.

  1. A.Sine
  2. B.Cosine
  3. C.Tangent
  4. D.Pythagoras' theorem

Answer and explanation

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Maths method check

  • Topic focus: Right-angled triangles.
  • Question style: cambridge_mcq.
  • Reasoning demand: reasoning.
  • Check the operation, notation, units, and final answer form against the question before moving on.

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Paper 2 structured question: Right-angled triangles

Paper 2Core or Extended Mathematics3 marks

Diagram Description

Tower and Surveyor

A right-angled triangle is formed with the tower as the vertical side, the ground distance as the horizontal side, and the line of sight as the hypotenuse. The angle of elevation is 35° at the surveyor's point.

  1. a

    Calculate the height of the tower to one decimal place.

    Aim for approximately 3 distinct marking points.

    [3]