Finding missing sides using sine and cosine for any angle
Finding missing sides using sine and cosine for any angle
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Lesson details
Key learning points
- In this lesson, we will learn how to find missing sides using sine and cosine for any angle in a triangle.
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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7 Questions
Q1.
Complete the statement: In a right angled triangle that has an interior angle of 30 degrees, opposite/ hypotenuse = .................
0.2
0.87
Q2.
Complete the statement: In a right angled triangle that has an interior angle of 60 degrees, opposite/ hypotenuse = .................
0.2
0.5
Q3.
Complete the statement: In a right angled triangle that has an interior angle of 60 degrees, adjacent/ hypotenuse = .................
0.2
0.87
Q4.
Complete the statement: In a right angled triangle that has an interior angle of 30 degrees, adjacent/ hypotenuse = .................
0.2
0.5
Q5.
What is the length of side a?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707165133%2Ffdcv2bnahxduibzwqkia.png&w=384&q=75)
3.4 cm
6 cm
Q6.
What is the length of side b?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707165135%2Fmmq3jtjqhm97ut5f4gdq.png&w=1080&q=75)
10 cm
3.5 cm
Q7.
What is the size of angle a?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707165138%2Frb3o7fcqornbxy2oijlm.png&w=750&q=75)
45 degrees
60 degrees
7 Questions
Q1.
What is the length of side marked q ?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707165222%2Fue0y4p2b3nqxticj3t88.png&w=384&q=75)
10 cm
5 cm
Q2.
What is the length of the side marked r ?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707165229%2Fymndcanrmjtnnjnf3wcx.png&w=828&q=75)
15 cm
22 cm
Q3.
What is the correct step for calculating the length of side b?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707212120%2Fn12w53xyoyedmbfu37po.png&w=640&q=75)
![](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707137542%2Fjjypog0wxhd66ulgckbb.png&w=640&q=75)
![](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707198549%2Fewdsjaqgsanwirtjdtuf.png&w=640&q=75)
Option 2
![](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707201027%2Fpvw1cm9ek6kmpvvccl8v.png&w=640&q=75)
Option 3
Q4.
What is the length of of b correct to 1 decimal place?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707165258%2Ffoept2xcybui4ohgcruz.png&w=640&q=75)
0.86 cm
10 cm
Q5.
What is the correct step for calculating the length of side a?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707165262%2Fhp4rojasweemeustkzqv.png&w=640&q=75)
![](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707137554%2Fzf2zp3yb3hck5vnv2jzs.png&w=640&q=75)
Option 1
![](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707139080%2Fnrbpeoydka9zbjtkl7cp.png&w=640&q=75)
Option 2
![](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707140133%2Fypuokhg5pseiyrjgntae.png&w=640&q=75)
Q6.
What is the length of a, correct to 1 decimal place?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707165265%2Fghryirxxulsgna7ivflt.png&w=640&q=75)
0.5 cm
23 cm
39.2 cm
Q7.
Which ratio would you use to find the length of the missing side in the triangle below?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707165272%2Fjgycw1cp8i2huuyrj3tz.png&w=384&q=75)
pythagoras
sine