Answer:
Therefore,
93.6 feet tall is the tower from the ground.
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,
![Height\ of\ tower=x+7](https://img.qammunity.org/2021/formulas/mathematics/middle-school/gksdvtgrxpgua8ngb6tdvlewwmz8kojcqd.png)
To Find:
Height of the tower = ?
Solution:
In Right Angle Triangle , Tangent Identity we have,
![\tan 60= \frac{\textrm{side opposite to angle 60}}{\textrm{side adjacent to angle 60}}](https://img.qammunity.org/2021/formulas/mathematics/middle-school/d60eb1dnmd1vkg2lojn37ybzw0890ln27y.png)
Substituting the values we get
![1.732= (x)/(50)\\\\x=86.6\ ft](https://img.qammunity.org/2021/formulas/mathematics/middle-school/o9q93p3tkmt7py09ojhssytkvf6s0sg5zm.png)
Substituting "x" For Height of tower we get
![Height\ of\ tower=86.6+7=93.6\ ft](https://img.qammunity.org/2021/formulas/mathematics/middle-school/ejv9aglpowxb53bj57ii6egfel0zkzerpu.png)
Therefore,
93.6 feet tall is the tower from the ground.