Answer: Tthe tower is 129 feet tall.
Step-by-step explanation:
According to trigonometry in a right triangle:
[tex]\tan\theta =\dfrac{\text{Side opposite to }\theta}{\text{Side adjacent to }\theta}[/tex]
Let x be the height of the tower.
Given , [tex]\theta=65^{\circ}[/tex]
Since tower stands vertical to the ground, that means it is making a right triangle with the shadow.
[tex]\tan 65^{\circ}=\dfrac{x}{60}\\\\\Rightarrow\ 2.1445=\dfrac{x}{60}\ \ \text{[Using calculator]}\\\\\Rightarrow x= 2.1445\times60=128.67\approx129\text{ feet}[/tex]
Hence, the tower is 129 feet tall.
