Question

8. A statue, 1.6 m tall, stands on the top of a pedestal. From a point on the great

angle of elevation of the top of the statue is 60° and from the same point theme
elevation of the top of the pedestal is 45º. Find the height of the pedestal

Answer 1

• Answer:

2.2 m

• Explanation:

tg60° = √3

tg60° = AB/BC

∡DCB = 45° => ΔDBC = isosceles => DB = BC = h

tg60° = (AD + DB)/BC

√3 = (1.6 + h)/h

h√3 = 1.6 + h

h√3 - h = 1.6

h(√3 - 1) = 1.6

h = 1.6/(√3 - 1)

= 1.6/0.73

≈ 2.2 m