Foundation November 2020 Paper 2 Q22
22 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 \(\cos x = \dfrac{4.7}{\sqrt{3.4^2 + 4.7^2}}\) | 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 |
| 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