A statue stands on the top of a $2\mathrm{m}$ tall pedestal. From a point on the ground, the angle of elevation of the top of the statue is $60°$ and from the same point, the angle of elevation of the top of the pedestal is $45°.$ If the height of the statue is $k m$ then find the value of $k$.

Write your answer up to three decimal places.

From the top of a building, the angle of elevation of the top of a cell tower is $60°$and the angle of depression to its foot is $45°.$ If distance of the building from the tower is$7\mathrm{m},$ then If the height of the tower is $k m$, then find the value of $k$.

Write your answer up to three decimal places.

A wire of length $18 \mathrm{m}$ had been tied with electric pole at an angle of elevation $30°$ with the ground. Because it was covering a long distance, it was cut and tied at an angle of elevation $60°$with the ground. How much length of the wire was cut in meters?

Use $\sqrt{3}=1.732$ and write your answer upto three decimal places.