Given:
There are given the statement:
The height of the tent is 6 ft.
The height of the shadow of the tent is 9 ft.
The height of the boy's shadow is 7.5 ft.
Explanation:
To find the height of the boy, we need to use the tan function:
So,
[tex]tanx=\frac{height\text{ of tent}}{height\text{ of their shadow}}=\frac{height\text{ of the boy}}{height\text{ of their shadow}}[/tex]Then,
[tex]\frac{6}{9}=\frac{h}{7.5}[/tex]Then,
Solve the above expression for the value of h:
Then,
[tex]\begin{gathered} \frac{6}{9}=\frac{h}{7.5} \\ \frac{2}{3}=\frac{h}{7.5} \\ 2(7.5)=3h \\ 15=3h \\ h=\frac{15}{3} \\ h=5ft \end{gathered}[/tex]Final answer:
Hence, the height of the boy is 5 ft.
