Answer:
The height of the top of the zip line is 55.0
Step-by-step explanation:
To calculate the the height of the top of the zip line, we will follow the steps below:
We are going to use the trigonometric ratio
SOH CAH TOA
sin Ф = opposite / hypotenuse
cos Ф = adjacent / hypotenuse
tan Ф = opposite / adjacent
From the diagram below:
adjacent = 55
opposite = h where h is the height of the top of the zip line.
Ф = 45°
From the parametric given, the best trig. ratio to use is that of tan Ф
tan Ф = opposite / adjacent
tan 45° = [tex]\frac{h}{55}[/tex]
Multiply both-side of the equation by 55
55×tan 45° = [tex]\frac{h}{55}[/tex] × 55
at the right-hand side of the equation, 55 will cancel-out 55 leaving us with just h
55×tan 45° = h
55.0 = h
h = 55.0
The height of the top of the zip line is 55.0
