Question

help! Jack and Jill are on either side of the church and 50m apart. Jack sees the top of the steeple at 40 degrees and Jill sees the top of the steeple at 32 degrees. How high is the steeple?

Answer 1

This can be solve using sine law, first solve the angle created at the steeple, x X = 180 – 40 – 32 X = 108 degrees
Solve one side, opposite to 32 degree angle, side a
Sine law: Sin ( 32 ) / a = sin ( 108) / 50 S
olve for a a = 27.86 m

then sin (40) = h / 27.86
solve for h h = 17.91 m high is the steeple