Year 10
Higher

Use sine and cosine to find a length

Year 10
Higher

Use sine and cosine to find a length

Lesson details

Key learning points

  1. In this lesson, we will calculate missing lengths using sine and cosine trigonometric ratios.

Licence

This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

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4 Questions

Q1.
1. Solve the equation to 1 decimal place
An image in a quiz
x = 10.0
Correct answer: x = 20.0
x = 200.0
x = 28.3
Q2.
2. Find the length of y, to 3 significant figures
An image in a quiz
0.16m
Correct answer: 2.83 m
6.23 m
Q3.
3. Find the length AC, to 2 decimal places
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0.14 km
Correct answer: 6.95 km
9.29 km
Q4.
4. Find the perimeter of this rectangle, to 3 significant figures
An image in a quiz
15.77 cm
15.8 cm
Correct answer: 31.5 cm
47.3 cm

4 Questions

Q1.
Solve this equation to 2 decimal places
An image in a quiz
x = 0.19
x = 4.70
Correct answer: x = 5.32
Q2.
Find the length of y, to 3 significant figures
An image in a quiz
0.16 m
1.59 m
Correct answer: 1.60 m
6.10 m
Q3.
Here is a right-angled isosceles triangle. Find the length AC to 2 decimal places.
An image in a quiz
0.14 cm
3.5 cm
Correct answer: 3.54 cm
7.07 cm
Q4.
4. Find the radius of this circle, to 3 significant figures. xy = 5.5 cm and angle xyz = 40
An image in a quiz
Correct answer: 3.59 cm
3.89 cm
7.18 cm
7.78 cm