Question
A statue 1.46 m. tall stands on the top of a pedestal. From a point on the ground the angle of elevation of the top of statue is 60° and from the same point, the angle of elevation of the top of the pedestal is 45° find the height of the pedestal.
Solution
Let hetght of the pedestal BD be h metres, and angle of elevation of C and D at a point A on the ground be 60° and 45° respectively.
It is also given that the height of tine statue CD be 1.6 m
i.e., ∠CAB = 60°,
∠DAB = 45° and CD = 1.6m
In right triangle ABD, we have
In right triangle ABC, we have
Comparing (i) and (ii), we get
Hence, the height of pedestal
= 0.73 (1.73 + 1) = 0.73 × 2.73
= 1.929 m. = 2 m. (approx)
