Answer:
Therefore,
93.6 feet tall is the tower from the ground.
Step-by-step explanation:
Given:
x = Opposite side to angle 60
50 ft = Adjacent side to angle 60
7 ft = height of boy
So Height of the tower will be,
[tex]Height\ of\ tower=x+7[/tex]
To Find:
Height of the tower = ?
Solution:
In Right Angle Triangle , Tangent Identity we have,
[tex]\tan 60= \dfrac{\textrm{side opposite to angle 60}}{\textrm{side adjacent to angle 60}}[/tex]
Substituting the values we get
[tex]1.732= \dfrac{x}{50}\\\\x=86.6\ ft[/tex]
Substituting "x" For Height of tower we get
[tex]Height\ of\ tower=86.6+7=93.6\ ft[/tex]
Therefore,
93.6 feet tall is the tower from the ground.
