Question

Jack and Jill are on either side of the church and 50 m apart. Jack sees the top of the steeple at 40 degrees(angle) and Jill sees the top of the steeple at 32 degrees (angle). 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
Solve for a a = 27.86 m

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