Question 1 :
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 2 :
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 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 :
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 5 :
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?

Question 6 :
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 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 :
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 9 :
The angle of elevation of stationary cloud from a point 25 ml above the lake is $ 15^0$ and the angle of depression of reflection&nbsp; in the lake is $45^0$ .Then the height of the cloud above the level&nbsp;

Question 10 :
<br/>The angle of elevation of the top of a hill when observed from a certain point on the horizontal plane through its base is $30^{0}$. After walking 120 meters towards it on level ground the elevation is found to be $60^{0}$. Find the height of the hill(in meters).<span><br/></span>

Question 11 :
Straight pole(AB) subtends a right angle at a point $D$ of another pole at a distance of $30$ meters from $A$, the top of $A$ being $60^{0}$ above the horizontal line joining the point $B$ to the pole $A$. The length of the pole $A$ is, in meters<br>

Question 12 :
The angle of elevation of the top of tower as observed from a pint on the horizontal ground is 'x' if we move a distance 'd' towards the foot of the tower the angle of elevation increases to 'y' then the height of the tower is&nbsp;

Question 13 :
The angle of elevation of the top of a tower as&nbsp;observed from a point on the horizontal ground&nbsp;is x. If we move a distance d towards the foot of&nbsp;the tower, the angle of elevation increases to y,&nbsp;then the height of the tower is<br><br>

Question 14 :
From the top of a cliff $24\ m$ height, a man observes the angle of depression of a boat is to be $60^{\circ}$. The distance of the boat from the foot of the cliff is<span><br/></span>

Question 15 :
If the given object is above the level of the observer, then the angle by which the observer raises his head is called _____.&nbsp;

Question 16 :
&#160;A person walking along a straight road towards a hill observes at two points distance &#160;$\sqrt{3}$&#160;km, the angle of elevation of the hill to be&#160;$30^{0}$&#160;and $60^{0}$. The height of the hill is &#160;&#160;

Question 17 :
The angle of elevation a vertical tower standing inside a triangular at the vertices of the field are each equal to $\theta$. If the length of the sides of the field are $30\ m,\ 50\ m$ and $70\ m$, the height of the tower is:<span><br/></span>

Question 18 :
What is the height of a tower if the angles of elevation of its top from two points $x$ and $y$ at distance of $a$ and $b$ respectively from the base and on the same straight line with the tower, are complementary?

Question 19 :
The angle of elevation of the top of a tower at a distance of $\dfrac{50\sqrt{3}}{3}$metres from the foot is $60^0$.<br/>Find the height of the tower.<br/>

Question 20 :
<br>Flag-staff of length $d$ stands on a tower of height $h$. lf at a point on the ground the angles of elevation of the tower and the top of the flag-staff be $\alpha,\ \beta$ respectively, then $h=$<br>

Question 21 :
The shadow of a person $X$, when the angle of elevation of the sun is $\alpha$, is equal in length to the shadow of another person $Y$, when the&#160;angle of elevation of the sun is $\left (\dfrac {\alpha}{2}\right )$. Which is the correct statement?

Question 22 :
The angle of elevation of a cloud from a point $h$ metres above the lake water level is $\theta$ and the angle&#160;of depresion of its image in the lake is $\phi$. The height of the cloud is<br/>

Question 23 :
$AB$ is a vertical pole with $B$ at the ground level and $A$ at the top. A man finds that the angle of elevation of the point A from a certain point $C$ on the ground is $60^{{o}}$. He moves away from the pole along the line $BC$ to a point $D$ such that $CD=7$ m. From $D$ the angle of elevation of the point $A$ is $45^{{o}}$. Then the height of the pole is&#160;<br/>