Question

From the top of a building 60 M high the angle of depression of the top of a pyramid is 45 degree and angle of depression of the foot of pyramid is 60 degree find the height of pyramid

Answer 1

in triangle abd abd=90

tan 60=ab /bd

√3=60/bd

bd = 20√3

in triangle aec aec =90

tan 45=ae/ec

1=ae/20√3. ( bd=ec)

ae=20√3

eb =ab-ae

60-20√3=20√3(√3-1)

eb =cd

cd=20√3(√3-1)