Answer:
18 feet
Step-by-step explanation:
The question is illustrated using the attached image.
From the image, we have:
[tex]\theta = 31.43^o[/tex] --- angle of depression
[tex]h = 11ft[/tex] --- Emir's height
Required
The distance from the base of the tree (x)
From the attached triangle, we have:
[tex]\tan(90 - \theta) = \frac{Opposite}{Adjacent}[/tex]
This gives:
[tex]\tan(90 - 31.43) = \frac{x}{11}[/tex]
[tex]\tan(58.57) = \frac{x}{11}[/tex]
Make x the subject
[tex]x = 11 * \tan(58.57)[/tex]
[tex]x = 18.00[/tex]
