- View more resources from this publisherSomething in Common
Tooltip
These resources have been reviewed and selected by STEM Learning’s team of education specialists for factual accuracy and relevance to teaching STEM subjects in UK schools.
Ratio of tans
In this resource students are given the coordinates for each vertex of a triangle, with two of the vertices being horizontal. The challenge is to determine the ratio of the tangents of two of the angles.
Each student worksheet has a different triangle, but the solutions all have something in common.
To find the solution students can use a translation vector to shift the triangle so that one of the points is at the origin. The length along the horizontal side is given and one of the other sides can be determined using Pythagoras’ theorem. The required angles can then be found by using the sine rule.
Show health and safety information
Please be aware that resources have been published on the website in the form that they were originally supplied. This means that procedures reflect general practice and standards applicable at the time resources were produced and cannot be assumed to be acceptable today. Website users are fully responsible for ensuring that any activity, including practical work, which they carry out is in accordance with current regulations related to health and safety and that an appropriate risk assessment has been carried out.
Downloads
-
Ratio of tans (presentation) 743.27 KB
-
Ratio of tans (worksheet) 316.69 KB
Show downloads
-
Ratio of tans (presentation) 743.27 KB -
Ratio of tans (worksheet) 316.69 KB
Download all files as a .zip921.7 KB
Information on the permitted use of this resource is covered by the Category Three Content section in STEM Learning’s Terms and conditions.
