Home » Maths for Planet Earth » Mountainside Monitoring

Mountainside Monitoring

Facebook
Twitter
Pinterest
Print

3 CO₂ monitors K, L and M are placed on a mountain side

The vector \(\overrightarrow{\text{KL}} = 3\mathbf{i -}6\mathbf{k}\) and \(\overrightarrow{\text{LM}} = 2\mathbf{i} + 5\mathbf{j} + 4\mathbf{k}\), relative to a fixed origin.

Show that \(\angle KLM = 66.4°\) to one decimal place

[7 marks]

Hence find \(\angle LKM\) and \(\angle LMK\)

[3 marks]

Start exploring

Latest from blog

More Maths for Planet Earth

A Level
The graph shows the rate of CO2 emissions per year since 1800. A climate scientist thinks that a quadratic curve could be fitted to
GCSE
Global warming will affect the world’s annual fishing catch. In a world heated by a global warming of 2°C, the annual fishing catch will
A Level
The height (h km) that a weather balloon can reach is related to the volume (v m₃) of helium in it at sea level
GCSE
The graph, from the IPCC 1.5 Report, shows how the rate of carbon dioxide emissions couldfall between 2020 and 2040, or between 2020 and
BACK TO TOP