Higher November 2020 Paper 2 Q7
7 The diagram shows a right-angled triangle.
Diagram NOT accurately drawn
Calculate the value of \(x\).
Give your answer correct to one decimal place.
(3)
| Scheme | Marks |
|---|---|
| \(\tan x = \dfrac{3.4}{4.7}\) oe eg \(\cos x = \dfrac{4.7}{\sqrt{3.4^2 + 4.7^2}}\) oe | M1 |
| \((x =)\; \tan^{-1}\left(\dfrac{3.4}{4.7}\right)\) oe eg \((x =)\; \cos^{-1}\left(\dfrac{4.7}{\sqrt{3.4^2 + 4.7^2}}\right)\) | M1 |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: 35.9 | A1 |
| (3) | |
| (3 marks) |
Notes
M1: or \(\sin x = \dfrac{3.4\sin 90}{\sqrt{3.4^2 + 4.7^2}}\) oe
M1: or \((x =)\; \sin^{-1}\left(\dfrac{3.4\sin 90}{\sqrt{3.4^2 + 4.7^2}}\right)\) oe
A1: accept 35.7 - 36.1