Solving angles of elevation & depression

From the top of a light house, Jim sees a rescue boat at an angle of depression of 20° . He knows the lighthouse is 28m high. How far away is the base of the light house is the boat?  correct to 2 decimal places.
















  tan θ= O/A
tan 70 = x/28
        x = tan (70) x 28
           = 76.93m


A woman flies a kite with a 100m  long string. The angle of elevation of the string is 52°. How high off the ground is the kite to the nearest metre?

     sin θ= O/H
   sin52= x/100
         x= sin (52) x 100
           = 79m