A statue of Sardar Patel stands on a pedestal. From a point on the ground the angle of elevation of the top of the statue is 60° and of the top of the pedestal is 45°. If the pedestal is 10 m high, find the height of the statue alone (in m).

Question

Accepted Answer

10(√3 - 1). From the point, tan 45 = 10/d => d = 10. Top of statue: tan 60 = H/10 => H = 10 √3 (total). Statue = H - 10 = 10 √3 - 10 = 10(√3 - 1) m.

A statue of Sardar Patel stands on a pedestal.
From a point on the ground the angle of elevation of the top of the statue is 60° and of the top of the pedestal is 45°.
If the pedestal is 10 m high, find the height of the statue alone (in m).

Step-by-Step Solution

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More Class 10 Heights and Distances practice

A statue of Sardar Patel stands on a pedestal.From a point on the ground the angle of elevation of the top of the statue is 60° and of the top of the pedestal is 45°.If the pedestal is 10 m high, find the height of the statue alone (in m).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Heights and Distances practice

A statue of Sardar Patel stands on a pedestal.
From a point on the ground the angle of elevation of the top of the statue is 60° and of the top of the pedestal is 45°.
If the pedestal is 10 m high, find the height of the statue alone (in m).