Answer:
B. 9.66
Step-by-step explanation:
To find how high the kite is off the ground, we will follow the steps below;
we will use trigonometric ratio to solve the problem. That is;
SOH CAH TOA
sinФ = opposite / hypotenuse
cosФ = opposite / hypotenuse
tanФ = opposite / adjacent
from the diagram below
Ф = 25°
opposite = x
adjacent = 10 feet
The best trig ratio to use is tan
we can now proceed to insert the values into the formula
tanФ = opposite / adjacent
tan 25° = [tex]\frac{x}{10}[/tex]
cross-multiply
x = 10 tan25°
x ≈4.66 feet
height of the kite off of the ground = x + height of Alice
=4.66 + 5
=9.66 feet
Therefore, the kite is 9.66 feet high off of the ground
