Practice Using Trigonometric Ratios To Find Sides And Angles (5) - Trigonometry Basics

Practice: Using Trigonometric Ratios to Find Sides and Angles

Lesson 5Trigonometry Basics

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9 questions

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Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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Quiz
3 questions · about 2 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
If the hypotenuse is 12 cm and the angle is 30°, what is the length of the opposite side?
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Recall the formula for finding the opposite side.
Question 2.
In a right triangle with an adjacent side of 8 cm and angle 60°, find the length of the hypotenuse.
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Use the cosine ratio.
3Question 3.
What is the formula to find the opposite side?
- Opposite = Hypotenuse × cos(𝜃)
- Opposite = Hypotenuse × sin(𝜃)
- Opposite = Adjacent × tan(𝜃)
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Remember your SOHCAHTOA!
4Question 4.
True or False: Inverse functions are used to find sides when given angles.
- True
- False
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Think of how trigonometric functions and their inverses operate.
Question 5.
A ladder leans against a wall at a 60° angle. If the foot of the ladder is 5 m away from the wall, calculate the height of the ladder (hypotenuse).
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Use the cosine of the angle, knowing the adjacent side.
Question 6.
A right triangle has sides 12 cm and 9 cm. Find the angles using the tangent formula.
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Identify which side is opposite and which is adjacent.

5 more questions in this section. Enroll free to practise them all.