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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?

Respuesta :

MissPhiladelphia
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

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