The car is traveling up a steep ramp to a parking garage. The ramp is 445 feet long and rises a vertical distance of 80 feet. What is the angle of elevation from the car to the end of ramp? Round to the nearest degree

Respuesta :

The ramp is modelled as shown in the diagram below.

The angle of elevation from the car is the angle form by the horizontal line and the observer eye from the car. In the diagram, this angle is marked by [tex]x[/tex]

We use trigonometry ratio to work out the value of [tex]x[/tex]

[tex]tan(x)= \frac{opposite}{adjacent} [/tex]
[tex]tan(x)= \frac{80}{445} [/tex]
[tex]x= tan^{-1}( \frac{80}{445}) [/tex]
[tex]x=10.19[/tex]°
Ver imagen merlynthewhizz

Answer:

10 degrees on edge

Step-by-step explanation: