Answer:
x = 19.06 feet
Step-by-step explanation:
Given that,
The length of a tree, h = 16 feet
It casts a shadow which forms an angle of 40° with the ground.
We need to find the length of the shadow. We can find it using trigonometry such that x be the length of the shadow. So,
[tex]\tan\theta=\dfrac{h}{x}\\\\x=\dfrac{h}{\tan\theta}\\\\x=\dfrac{16}{\tan(40)}\\\\x=19.06\ \text{feet}[/tex]
So, the length of the shadow is 19.06 feet.
