Question Text
Question 1 :
The angle of depression of  a boat from the top of a cliff 300 m high is $\displaystyle 60^{\circ}   $  The distance of the boat from the foot of the cliff is 
Question 2 :
A $20 m$ pole casts a $5 m$ long shadow. If at the same time of the day, a building casts a shadow of $20 m$, how high is the building? <span><br/></span>
Question 3 :
If a ladder $13 m $ is placed against a wait such that its roots at a distance from the wall, then the height of the top of the ladder from the ground :<br><br>
Question 4 :
Two chimneys 18 m and 13 m high stand upright in the ground. If their feet are 12 m apart, then the distance between <span>their tops is</span>
Question 5 :
A flagstaff stands on the middle of a square tower. A man on the ground, opposite to the middle of one face and distant from it $100$ m, just see the flag ; on his receding another $100$ m, the tangents of the elevation of the top of the tower and the top of the flagstaff are found to be $\dfrac {1}{2}$ and $\dfrac {5}{9}$. Find the height of the flagstaff, the ground being horizontal
Question 6 :
The angle of elevation of a stationary cloud from a point $25\ m$ above a lake is $15^o$ and the angle of depression of its image in the lake is $45^o$. The height of the cloud above the lake level is