Practice Worked Examples (4) - Theorems in Geometry & Trigonometry - IB 10 Mathematics – Group 5, Geometry & Trigonometry
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Worked Examples

Practice - Worked Examples

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Practice Questions

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Question 1 Easy

A fence post is 6 m tall and casts a shadow of 8 m. Find the angle of elevation.

💡 Hint: Remember the tangent function relates opposite and adjacent sides.

Question 2 Easy

In a triangle with a right angle, if one side is 9 cm and the other is 12 cm, what is the hypotenuse?

💡 Hint: Don't forget to square each side!

3 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

In a right triangle, if one side is 12 and the other is 16, what is the length of the hypotenuse?

24
20
28

💡 Hint: Calculate using a² + b² = c².

Question 2

True or False: The sum of the angles in a triangle equals 180°.

True
False

💡 Hint: Recall the Triangle Sum Theorem.

1 more question available

Challenge Problems

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Challenge 1 Hard

A park has a triangular flower bed where the lengths of the sides are 9 m, 12 m, and 15 m. Determine if it's a right triangle using Pythagorean Theorem.

💡 Hint: Revisit the Pythagorean relationship to confirm.

Challenge 2 Hard

A pole is 2 m shorter than a wall. If the pole casts a shadow of 4 m and the wall is 10 m tall, find the angle of elevation from the shadow's end.

💡 Hint: Don’t forget to visualize your triangle!

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