Answer:
[tex] \therefore [/tex] The height of the tree is approximately measures 27.96ft, if the string of a kite makes a 25° angle on the ground.
Step-by-step explanation:
To know how to is the tree, we are going to use the Trigonometric Ratio: TOA, which is written as,
- [tex] \boxed{\bold{tan \theta = \frac{Opposite}{Adjacent}}} [/tex]
Let h be the height of the tree then substitute the givens to the ratio.
- [tex] \rm{tan(25) = \frac{h}{60}}[/tex]
Change tan(25) in degrees/decimal then multiply both sides by 60
- [tex] \rm{0.466 \cdot 60 = h} [/tex]
- [tex] \rm{27.96 \approx h} [/tex]
[tex] \therefore [/tex] The height of the tree is approximately measures 27.96ft, if the string of a kite makes a 25° angle on the ground.