A statue 1.5 m tall stands on the top of a pedestal from the point on the ground the angle of elevation of the top of the statue is 45 degree and from the same point the angle of elevation of the top of pedestal is 30 degree find the height of the pedestal of from the ground
Answers
Answered by
12
pedestal is AB and statue is AC.
height =AB
length of the statue is 1.6 m
Hence AC =1.6m
angle of elevation to the top of the statue is 60degree
Hence angle CPB=60 degree
angle of elevation at the top of the pedestal =30 degree
angle APB=30degree
In triangle ABP
tan p =AB/BP
tan 45 degree =AB/BP
1=AB/BP
BP=AB
tan 60=CB/BP
root 3=CB/BP
root3BP=CB
Root 3AB=CB
root 3 AB =AC+AB
root3 AB-AB=1.6
AB=1.6/ROOT3 -1
height =AB
length of the statue is 1.6 m
Hence AC =1.6m
angle of elevation to the top of the statue is 60degree
Hence angle CPB=60 degree
angle of elevation at the top of the pedestal =30 degree
angle APB=30degree
In triangle ABP
tan p =AB/BP
tan 45 degree =AB/BP
1=AB/BP
BP=AB
tan 60=CB/BP
root 3=CB/BP
root3BP=CB
Root 3AB=CB
root 3 AB =AC+AB
root3 AB-AB=1.6
AB=1.6/ROOT3 -1
Answered by
28
Answer:
Step-by-step explanation:
Attachments:
Similar questions