Question

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8. A statue, 1.6 m 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 60º and from the same point the angle of
elevation of the top of the pedestal is 45º. Find the height of the pedestal.​

Answer 1

This should be your diagram to solve ahead, use tan theta given 60° and 45°

Tan Theta = Perpendicular/Base

Hope this is helpful to you

Answer 2

Answer:look draw a triangle of height without statue h and with statue 1.6+h let the distance x from the statue the angle is 60degree and from the pedestal angle is 45degree and name them from the top of statue A and from the pedestal B and then from corner C and where the angle is made that is DStep-by-step explanation:

in triangle BCD

Tan 45degree =h/x

1=h/x

h = x

In triangle ACD

tan 60degree = AC/AD

tan 60 = 1.6+h/x

√3 = 1.6+h/x

√3x = 1.6 + h. (x=h aboveproved)

√3h-h=1.6

h(√3-1)=1.6

h=1.6/√3-1