In this assessment, students apply their knowledge of right-angled trigonometry (and in the Extended version also the Pythagorean theorem and non right-angled trigonometry) to calculate the measure of angles through which Tom the Tourist looks at the replica of the Statue of Liberty. Throughout the task, students calculate angles using inverse trigonometric ratios and comment on the accuracy of their findings. At the end, students are asked to use their GDC to graph a function that can be used to find the optimal distance from the statue where Tom should stand in order to take the photo through the largest possible angle.

Math Concepts:
trigonometry
SOHCAHTOA
sine rule
cosine rule
optimization
maximum point

MYP Related Concepts:
models

MYP Key Concepts:
logic

MYP Global Context:
Orientation in Space and Time