Purpose: Verify Grade 10 trigonometry skills (SOH-CAH-TOA, Pythagorean theorem) before tackling MCR3U trig.
Prerequisite Skills
Question 1 [3 marks]
In a right triangle with legs 6 and 8, find the hypotenuse using the Pythagorean theorem.
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Question 2 [3 marks]
In a right triangle, opposite = 7, adjacent = 24. Find \( \sin\theta, \cos\theta, \tan\theta \) (leave as fractions).
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Question 3 [3 marks]
Solve for \( \theta \) in a right triangle where \( \sin\theta = 0.6 \). Round to one decimal place.
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Question 4 [3 marks]
A 5 m ladder leans against a wall. The base is 1.5 m from the wall. Find the angle the ladder makes with the ground.
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Question 5 [3 marks]
Sketch a 30-60-90 triangle with hypotenuse 2. Label the side lengths.
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Question 6 [3 marks]
In a triangle with all sides 5, 5, and 8 (isosceles), find one of the equal angles using the cosine law.
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Reflection
Question 7 [Reflection]
When are you given a right triangle vs. an oblique (non-right) triangle? Which formulas apply to each? Where do you feel uncertain?
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