Question

A statue 1.5m tall stands on the top of a pedestal. From a point on the ground the angle of elevation of the top of the statue is 450 and from the same point the angle of elevation of the top of the pedestal is 300find the height of the pedestal.(use √3 =1.73 ).​

Answer 1

Answer:

Hi friend.

Step-by-step explanation:

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

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Answer 2

Step-by-step explanation:

in∆bcd,

bc/cd=tan 45°

bc/cd=1

bc=cd

in∆acd,

ab+bc/cd=tan 60°

ab+bc/bc=√3

1.6+bc=bc√3

bc(√3-1)=1.6

bc=(1.6)(√3+1)/(√3-1)(√3+1)

=1.6(√3+1)/(√3)^2-(1)^2

=1.6(√3+1)/2

=0.8(√3+1)

=(√3+1)