Question

a statue 1.6m 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 60° and from the same point angle of elevation of the top of the pedestal is 45°. find the height of the pedestal.
don't want the whole solution but just the correct answer.
respond quickly.. please.....​

Answer 1

Answer:

Height of pedestal is 0.8 *(√3 + 1)

Step-by-step explanation:

In triangle BCD,              

tan45 = BC/CD

               => 1 = BC/CD

              => CD = BC

Again in triangle ACD,

             tan60 = AC/CD

              => √3 = (AB + BC)/CD

              =>√3*CD = AB + BC

              => √3BC = 1.6 + BC

              => √3BC - BC = 1.6

              => (√3 - 1)BC = 1.6

              => BC = 1.6/ (√3 - 1)

              => BC ={1.6* (√3 + 1)}/{(√3 - 1)*(√3 + 1)}

              => BC ={1.6* (√3 + 1)}/2

           => BC = 0.8 *(√3 + 1)

So height of pedestal is 0.8 *(√3 + 1)

Answer 2

Suppose , In triangle ABD
Tan60=AB/BD
Under root 3 = 1.6/