Solve problems mixing angles and sides
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Lesson details
Key learning points
- In this lesson, we will apply trigonometry to multi-step problems by finding missing sides and missing angles
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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3 Questions
Q1.
Which of the trigonometry ratios will be required to find the missing angle in this question?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707169459%2Fuc1aredbhwy9hkqxe8pq.png&w=384&q=75)
inverse cosine
inverse tangent
Q2.
Find the missing angle, giving your answer to 1 decimal place.
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707169466%2Fl44leuwqce1u4ytljbz1.png&w=384&q=75)
60 degrees
72.1 degrees
Q3.
Find the missing angle, giving your answer to 1 decimal place.
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707169468%2Fj0gklelyexfsp7qtitts.png&w=750&q=75)
27.6 degrees
48.4 degrees
3 Questions
Q1.
To find x, which other side will you need to find first
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707159302%2Fo7klsmhrvoqeklbxepal.png&w=1200&q=75)
a
c
Q2.
2.Work out the length of the side marked x to 2 d.p.
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707159322%2Fuixdaelppfbdsngalhbm.png&w=1200&q=75)
6.88 cm
8.51 cm
Others
Q3.
A ladder that is 5 metres long is placed against a wall. The angle of elevation is 50°. How high up the wall does the ladder reach? Give your answer to 2 d.p.
3.21 m
5.96 m
Others