Given that,
The angle of elevation from her to the top of the hill is 17 degrees.
The hill is 50 feet tall.
To find,
The length of the walkway.
Solution,
h = 50 feet
Let the length of the walkway up the hill is x m. It is the hypotenuse of the right angle triangle. Using trigonometry as follows :
[tex]\sin\theta=\dfrac{50}{x}\\\\x=\dfrac{50}{\sin(17)}\\\\=171.01\ \text{feet}[/tex]
Hence, the walkway up the hill is 171.01 feet.
