You and a friend are out hiking across a large flat plain and decide to determine the height of a distant mountain peak, and alsothe horizontal distance from you to the peak. In order to do this,you stand in one spot and determine that the sightline to the topof the peak is inclined at 7.5° above the horizontal. You alsomake note of the heading to the peak at that point: 13° east ofnorth. You stand at the original position, and your friend hikesdue west for 1.5 km. He then sights the peak and determines thatits sightline has a heading of 15° east of north. How far isthe mountain from your position, and how high is its summit aboveyour position?