6. Geometry and Vectors

Trigonometric Geometry — Quiz

Test your understanding of trigonometric geometry with 5 practice questions.

Practice Questions

Question 1

A ladder leans against a wall. The base of the ladder is 3 meters from the wall, and the top of the ladder touches the wall at a height of 4 meters. What is the length of the ladder?

Question 2

A tree casts a shadow that is 12 meters long. If the angle of elevation of the sun is $30^\circ$, how tall is the tree?

Question 3

A plane is flying at an altitude of 1000 meters and is spotted at an angle of depression of $45^\circ$ from an observer on the ground. How far is the plane from the observer horizontally?

Question 4

In a triangle $ABC$, angle $A = 60^\circ$, angle $B = 45^\circ$, and the side opposite angle $B$ is 10 units. What is the length of the side opposite angle $A$?

Question 5

A ship sails 8 km due north and then turns and sails 6 km due east. How far is the ship from its starting point?