3. Geometry and Trigonometry
Applications Of Trigonometry And Pythagoras — Quiz
Test your understanding of applications of trigonometry and pythagoras with 5 practice questions.
Practice Questions
Question 1
A right triangle has legs of length $3$ and $4$. What is the length of the hypotenuse?
Question 2
Which trigonometric ratio is defined as the opposite side divided by the hypotenuse in a right triangle?
Question 3
In a right triangle, the angle $\theta$ has adjacent side length $8$ and hypotenuse length $10$. What is $\cos\theta$?
Question 4
A ladder rests against a wall. The ladder is $13$ m long and reaches $12$ m up the wall. How far is the base of the ladder from the wall?
Question 5
A surveyor measures an angle of elevation of $30^\circ$ to the top of a tree. The tree is $10$ m away horizontally. What is the height of the tree above the surveyor’s eye level?