Given:
Shadow is 5 feet long
Angle of elivation is 50 degree
Required:
To determine the lamppost is how much feet tall
Explanation:
We will use our trigo knowledge to solve this.
The man is standing 10 away, but we also need to add the 5
shadow as well as that is a point on our triangle .
We can set up a simple trig equation of:
[tex]\begin{gathered} tan(50)=\frac{x}{15} \\ \\ \end{gathered}[/tex]
x being the height of the lamppost.
Now we can solve
[tex]\begin{gathered} tan\text{ \lparen50\rparen=1.1918} \\ \\ 1.1918\times15=x \\ \\ x=17.876 \\ \\ Now\text{ round to the nearest foot .} \\ \\ x\approx18 \end{gathered}[/tex]
Required answer:
x is approximately equal to 18
