Question

A statue which is x m tall stands on the top of 100m long pedestal on the ground. From

a point on the ground, the angle of elevation of the top of the statue is 600

and from the

same point, the angle of elevation of the top of the pedestal is 450

. Find the height of

the statue.

please tell me fast​

Answer 1

Answer:

x=100(√3-1)≈73 m

Step-by-step explanation:

let the total height be 100+x

given that angle of elevation to the top of the statue is 60°

and at the same point angle of elevation to the top of the pedestal is 45°

let distance from foot of pedestal and point of view be y

since tan(60)=(100+x)/y

y=(100+x)/tan(60)

also tan(45)=100/y

y=100/tan(45)

hence

(100+x)/tan(60)=100/tan(45)

(100+x)/√3=100

100+x=100√3

x=100√3-100

x=100(√3-1)

√3≈1.73

so x≈100(1.73-1)

x≈100(0.73)

x≈73m