Answer:
The height of the zip line is 42.4 feet
Step-by-step explanation:
Given
[tex]\theta = 45^o[/tex] --- angle of elevation
[tex]l = 60[/tex] --- length of zip line
Required
The height of the zip line (h)
This question is an illustration of right-angled triangle.
Where:
[tex]\sin(\theta) = \frac{h}{l}[/tex]
Make h the subject
[tex]h = l * \sin(\theta)[/tex]
[tex]h = 60 * \sin(45)[/tex]
[tex]h = 60 * 0.7071[/tex]
[tex]h = 42.4[/tex]
