Question

Day 6: Textbook Page 321 Problem 9 When Esteban looks at the puddle, he sees a reflection of the top of the cactus. How tall is the cactus? use 10 m, 2.5 m, 1.5 m

Answer 1

The given figure can be drawn as,

From the figure,

$\tan \theta=\frac{opposite\text{ side}}{\text{adjacent side}}$

$\begin{gathered} \tan \theta=\frac{DE}{EC} \\ \tan \theta=\frac{1.5}{2.5} \\ \tan \theta=0.6 \end{gathered}$

Since angle of incidence will be equal to angle of reflection, $\begin{gathered} \text{tan}$Therefore, the height of cactus is 6 m.