(new version) Trigonometry question

Question

There is a fire on a buildings top floor and the fire truck needs to know how far away from the buildings base it has to be so it can raise the ladder to the top. The height of the building is 11.8m. The ladder is 10m and 2 metres off the ground since it is on top of the fire truck. The angle of elevation is 70 degrees how far away should the truck be from the base?
If you could solve this asap that would be great
Thanks

Answer 1

There is something incorrect in this problem - Since the angle of elevation is specified, that angle determines the height of the ladder, not the height of the building.  Using an angle of elevation of 70 degrees, the horizontal distance from the building is x=10cos(70)=3.420m.  However, this corresponds to a height of the building (above the 2m fire truck) of 9.397m.  The ladder needs to go up 9.8m (11.8m - 2m) to get to the top of the building.  Bottom line:  An angle of elevation of 70 degrees is not enough to get the ladder to the top of the building.