Heights And Distances Practice 1: Angles And Diagrams

Practise focused skills from Heights and Distances

MathematicsGrade 10Mixed10 questions20 min

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Focus question style

Section A: Core Ideas · 5 questionsSection B: Apply and Check · 5 questions

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Section A: Core Ideas

Build the core vocabulary and setup.

Choose the best answer for each question.

Question 1

EasyQuestion

A student looking up from the ground to the top of a tower forms which angle with the horizontal line through the eye?

Topic: Angle Concepts · Skill: Identify angle of elevation

Question 2

EasyQuestion

From the top of a lighthouse, an observer looks down at a boat. The angle made with the horizontal through the observer is called:

Topic: Angle Concepts · Skill: Identify angle of depression

Question 3

MediumQuestion

A 20 m tree casts a shadow, and the angle of elevation of the sun is $45^\circ$ . Which diagram model is most appropriate?

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

Question 4

MediumQuestion

A tower height is unknown, the horizontal distance from its foot is known, and the angle of elevation is given. Which ratio is usually most direct?

Topic: Diagram Modelling · Skill: Choose the correct trigonometric ratio

Question 5

MediumQuestion

A man stands 30 m from a tower. The angle of elevation of the top is $30^\circ$ . What is the tower height?

Topic: Single Triangle Problems · Skill: Find height from distance and angle

What this assignment covers

Identify elevation/depression and model word problems correctly.

Skills and sections

Identify angle of elevation, Identify angle of depression, Draw diagrams from word problems, Choose the correct trigonometric ratio, Find height from distance and angle

Section A: Core Ideas: 5 questions
Section B: Apply and Check: 5 questions