Your Turn: Statue on a Pedestal

Young Math BrainsCBSE Class 10 Board Prep App
Explore Full App →
Some Applications of Trigonometry

Your Turn: Statue on a Pedestal

CBSE Class 10 · Solve it one decision at a time. A wrong pick earns a nudge, never the answer.

Step 1 of 5

The problem

A statue 1.6 m1.6\text{ 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 60∘60^\circ and from the same point the angle of elevation of the top of the pedestal is 45∘.45^\circ. Find the height of the pedestal. (Take 3=1.732\sqrt{3} = 1.732)

Step 1 · Your move

Let the pedestal height be BC=hBC = h and ground distance be PCPC. In right △BCP\triangle BCP with elevation 45∘45^\circ, what is the distance PCPC in terms of hh?

teal: 45° (pedestal top)amber: 60° (statue top)h1.6 mPCBA
Helpful?