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

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 25 m 15 m class=
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 25 m 15 m class=

Respuesta :

The given figure can be drawn as,

From the figure,

[tex]\tan \theta=\frac{opposite\text{ side}}{\text{adjacent side}}[/tex]

[tex]\begin{gathered} \tan \theta=\frac{DE}{EC} \\ \tan \theta=\frac{1.5}{2.5} \\ \tan \theta=0.6 \end{gathered}[/tex]

Since angle of incidence will be equal to angle of reflection, [tex]\begin{gathered} \text{tan}<\text{ACB}=\frac{h}{10\text{ m}} \\ \text{tan}\theta=\frac{h}{10\text{ m}} \\ 0.6=\frac{h}{10\text{ m}} \\ 6\text{ m=h} \end{gathered}[/tex]Therefore, the height of cactus is 6 m.

Ver imagen spark14963