Answer:
43.3 ft
Explanation:
The diagram representing this problem is drawn and attached below:
The distance between the boy and the tree = x
Recall from trigonometrical ratios:
[tex]\tan \theta=\frac{\text{Opposite}}{\text{Adjacent}}[/tex]
Therefore:
[tex]\begin{gathered} \tan 30\degree=\frac{\text{2}5}{\text{x}} \\ \text{Cross multiply} \\ x\tan 30\degree=25 \\ x=\frac{25}{\tan 30\degree} \\ x=43.3\; ft \end{gathered}[/tex]
The distance between the boy and the tree is 43.3 ft (correct to 2 decimal places).
