5. Geometry and Measurement

Trig In Triangles — Quiz

Test your understanding of trig in triangles with 5 practice questions.

Practice Questions

Question 1

A triangular plot of land has two sides measuring $150 \text{ m}$ and $200 \text{ m}$, and the included angle is $70^\circ$. What is the length of the third side, to the nearest meter?

Question 2

Two ships leave a port at the same time. Ship A sails on a bearing of $030^\circ$ at $15 \text{ knots}$, and Ship B sails on a bearing of $080^\circ$ at $12 \text{ knots}$. How far apart are the ships after $2 \text{ hours}$?

Question 3

In triangle ABC, side $a = 10$, side $b = 15$, and angle $A = 30^\circ$. What is the measure of angle $B$ to the nearest degree?

Question 4

A pilot flies a plane for $200 \text{ km}$ on a bearing of $060^\circ$. How far north and how far east has the plane traveled from its starting point?

Question 5

In triangle PQR, side $p = 7$, side $q = 9$, and side $r = 12$. What is the measure of angle $P$ to the nearest degree?