Answer:
1281.55 ft
Explanation:
• The height of the tourist above the ground = 931.1 ft.
,• The angle of depression of her friend from the tourist = 36°
The diagram below is an illustration of the problem:
The distance of her friend from the empire state building is labeled x above.
Using trigonometric ratios:
[tex]\tan36\degree=\frac{931.1}{x}[/tex]Cross multiply to begin solving for x:
[tex]x\tan36\degree=931.1[/tex]Divide both sides by tan 36
[tex]\begin{gathered} \frac{x\tan36\degree}{tan\text{ }36}=\frac{931.1}{\tan36} \\ x=1281.55\text{ ft} \end{gathered}[/tex]Her friend is approximately 1281.55 ft from the empire state building.
