Question 1 :
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 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?&#160;<span><br/></span>

Question 3 :
As you ride the Ferris wheel, your distance from the ground varies sinusoidally with time. An equation to model the motion is y=20cos($\frac {\pi}{4} (t-3))+23$. Predict your height above the ground at a time of 1 seconds.<br/>

Question 4 :
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 5 :
The angle of depression of &#160;a boat from the top of a cliff 300 m high is&#160;$\displaystyle 60^{\circ} &#160; $ &#160;The distance of the boat from the foot of the cliff is&#160;

Question 6 :
The angle of elevation of the top of a tower at a horizontal distance equal to the height of the tower from the base of the tower is&#160;

Question 7 :
Two chimneys 18 m and 13 m high stand upright in the ground. If their feet are 12 m apart, then the distance between&#160;<span>their tops is</span>

Question 8 :
A ladder '$x$' meters long is laid against a wall making an angle '$\theta$' with the ground. If we want to directly find the distance between the foot of the ladder and the foot of the wall, which trignometrical ratio should be considered?