Heights And Distances Practice 2: Single-Triangle Problems

Practise focused skills from Heights and Distances

MathematicsGrade 10Mixed10 questions20 min

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Section A: Skill Practice · 5 questionsSection B: Application · 5 questions

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Section A: Skill Practice

Practise procedure and formula selection.

Choose the best answer for each question.

Question 1

MediumQuestion

A student gets a tower height of $2$ m when the tower is viewed from 10 m away at $60^\circ$ . What should they notice?

Topic: Validation · Skill: Check reasonableness of height-distance answers

Question 2

AdvancedQuestion

A student treats the angle of depression from a cliff to a boat as the angle at the boat below the horizontal. What is the error?

Topic: Error Analysis · Skill: Avoid elevation-depression diagram errors

Question 3

MediumQuestion

Which choice best checks the skill: identify angle of elevation?

Topic: Angle Concepts · Skill: Identify angle of elevation

Question 4

MediumQuestion

Which choice best checks the skill: identify angle of depression?

Topic: Angle Concepts · Skill: Identify angle of depression

Question 5

MediumQuestion

Which choice best checks the skill: draw diagrams from word problems?

Topic: Diagram Modelling · Skill: Draw diagrams from word problems

What this assignment covers

Choose ratios and solve height or distance problems.

Skills and sections

Check reasonableness of height-distance answers, Avoid elevation-depression diagram errors, Identify angle of elevation, Identify angle of depression, Draw diagrams from word problems

Section A: Skill Practice: 5 questions
Section B: Application: 5 questions