Answer:
String form an angle of 18.2° with the ground.
Step-by-step explanation:
Given: Length of the string of a kite = 160 ft.
Kite stuck on pole at height of = 50 ft.
We need to find: Measure of angle formed by string of kite with ground.
Attached figure showing the given situation.
let α be the required angle.
In ΔABC,
using trigonometric ratio,
[tex]sin\,\aplha=\frac{AB}{AC}[/tex]
[tex]sin\,\aplha=\frac{50}{160}[/tex]
[tex]sin\,\aplha=\frac{5}{16}[/tex]
[tex]sin\,\aplha=0.3125[/tex]
[tex]\aplha=sin^{-1}(0.3125)[/tex]
[tex]\alpha=18.20995686428301[/tex]
[tex]\alpha=18.21[/tex]
Therefore, String form an angle of 18.2° with the ground.
