An electrician wants to repair an electric connection on a pole of height $9\mathrm{m}.$He needs to reach $1.8\mathrm{m}$ below the top of the pole to do repair work. What should be the length of the ladder which he should use, when he climbs it at an angle of $60°$with the ground? What will be the distance between foot of the ladder and foot of the pole in m$?$

A boat has to cross the river. It crosses the river by making an angle of $60°$ with the bank of river due to the stream of the river and travels a distance of $600$ m to reach the another side of the river. If the width of the river is $k m$, then find the value of $k$.

Write your answer up to three decimal places.

In the below figure, $\mathrm{AC}=6 \mathrm{cm}$, $\mathrm{AB}=5$ $\mathrm{cm}$ and $\angle \mathrm{BAC}=$ $30°.$ If the area of the triangle is $k {\mathrm{cm}}^2$, then find the value of $k$.

A $1.5\mathrm{m}$ tall boy is looking at the top of a temple which is$30$ meter in height from a point at certain distance. The angle of elevation from his eye to the top of the crown of the temple increases from $30°$ to $60°$as he walks towards the temple. If the distance he walked towards the temple is $k m$, then find the value of $k$.

Write your answer upto three decimal places.

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.