1.  A ship of height h = 21 m is sighted from a lighthouse. From the top of the lighthouse, the angle of depression to the top of the mast and the base of the ship equal 30^{o} and 45^{o} respectively. How far is the ship from the lighthouse (in meters)? 
  

2.  A pole of height h = 20 ft has a shadow of length l = 11.55 ft at a particular instant of time. Find the angle of elevation (in degrees) of the sun at this point of time. 
  

3.  Two men on opposite sides of a TV tower of height 24 m notice the angle of elevation of the top of this tower to be 45^{o} and 60^{o} respectively. Find the distance (in meters) between the two men. 
  

4.  You are stationed at a radar base and you observe an unidentified plane at an altitude h = 1000 m flying towards your radar base at an angle of elevation = 30^{o}. After exactly one minute, your radar sweep reveals that the plane is now at an angle of elevation = 60^{o} maintaining the same altitude. What is the speed (in m/s) of the plane? 
  

5.  Two men on the same side of a tall building notice the angle of elevation to the top of the building to be 30^{o} and 60^{o} respectively. If the height of the building is known to be h =110 m, find the distance (in meters) between the two men. 
  

6.  A man is walking along a straight road. He notices the top of a tower subtending an angle A = 60^{o} with the ground at the point where he is standing. If the height of the tower is h = 35 m, then what is the distance (in meters) of the man from the tower? 
  

7.  Two towers face each other separated by a distance d = 15 m. As seen from the top of the first tower, the angle of depression of the second tower's base is 60^{o} and that of the top is 30^{o}. What is the height (in meters) of the second tower? 
  
