Question

A 13.5​-m fire truck ladder is leaning against a wall. Find the distance d the ladder goes up the wall​ (above the fire​ truck) if the ladder makes an angle of 39 degrees 45 ' with the horizontal.

Answer 1

To solve this problem you must apply the proccedure shown below:

 1. You have the the 13.5​-m fire truck ladder is leaning against a wall and the ladder makes an angle of 39 degrees 45 ' with the horizontal.

 2. Then you have:

 39 degrees 45'=39.75°

 Sin(39.75°)=d/13.5
 d=13.5xSin(39.75°)
 d=8.63

 

Answer 2

Solution
Assuming the ladder makes a right triangle with the wall,length of the ladder will be the hypotenuse(13.5m)
find the height
sin39.75= opposite/13.5m
= 0.6394 * 13.5m
=8.63m