A ladder is leaning against a 3.4 m tall building at an angle of elevation of . Determine the length of the ladder to the nearest tenth of a metre.
Poorly worded question:
Does the ladder just touch the very top of the 3.4 m building?
Does the ladder touch the building 3.4 m above the ground?
Sure would like to know what that angle is.
Once you find it, let's suppose it is 40°,
then let the ladder's length be L
sin40° = 3.4/L
L = 3.4/sin40°
Adjust your solution accordingly.