Track quiz
Keep the table beside you. Read each question twice: once for the angle, once for the sides.
| Idea | How it goes |
|---|---|
| Elevation | Height = walk × tan of the angle of elevation. |
| Depression | On level ground, depression from the top = elevation from the object. |
| Which ratio | Name the side you know and the side you want. That pair picks sin, cos or tan. |
| Two posts | Two readings, one tower: the two heights must match. |
| One vantage | Statue = whole column − pedestal. |
| One window | Tower = piece above + piece below. |
| Finding the angle | tan of the angle = height ÷ shadow. |
| The order | Read, draw, name, pick, divide, check. |
A cell tower stands on flat ground. A 24 m walk reads 60° of elevation. How tall is it?
Where does the angle of depression open from?
The depression from a cliff top to a boat reads 45°. What does the elevation read at the boat?
A sight line 24 m long reads 30° of elevation. Which ratio gives the height?
A far post reads 30°. A near post, 90 m closer, reads 60°. How far is the near post from the tower?
From 18 m, the pedestal reads 30°. The statue top reads 60°. How tall is the statue alone?
A window is 24 m from a tower. The top reads 45° up. The foot reads 45° down. How tall is the tower?
A 12 m pole casts a shadow 12 m long. What is the sun's angle?
Chapter 9 is Some Applications of Trigonometry. Every problem in it asks you to name a right triangle. Next: Circles — lines that touch a circle at one point.