Foundation November 2021 Paper 1 Q14
14 Here is a right-angled triangle.
Diagram NOT accurately drawn
Calculate the value of \(h\).
Give your answer correct to 3 significant figures.
(3)
| Scheme | Marks |
|---|---|
| \(30^2 + h^2 = 52^2\) oe or \(900 + h^2 = 2704\) \((h^2 =)\ 52^2 - 30^2\ (= 1804)\) or \((h^2 =)\ 2704 - 900\ (= 1804)\) | M1 |
\((h =)\ \sqrt{52^2 - 30^2}\ \left(= \sqrt{1804}\right)\ (= 42.47352..)\) or \((h =)\ \sqrt{2704 - 900}\ \left(= \sqrt{1804}\right)\ (= 42.47352..)\) | M1 |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: 42.5 | A1 |
| (3) | |
| (3 marks) |
Notes
M1: for applying Pythagoras theorem correctly
M1: for square rooting
A1: awrt 42.5 or allow \(2\sqrt{451}\)