Question Text
Question 1 :
If the altitude of the sun is $60^{\circ}$, the height of a tower which casts a shadow of length 30 m is :<br/>
Question 2 :
What is the length of the chord of a unit circle which substends an angle $\theta$ at the centre ?
Question 3 :
The angles of elevation of the top of a vertical tower from points at distance $a$ and $b$ from the base and in the same line with it are complementary. If $a > b$, find the height of the tower.
Question 4 :
From the top of a tower $100m$ high ,the angels of depression of the bottom and the top of a building just opposite to it are observed to be ${60^ \circ }$ and ${45^ \circ }$ respectively,then height of the building is 
Question 5 :
Points A and C lie on a straight road and point B lies directly above the road. The angle of elevation from point A to point B is $35^{\circ}$ and the angle of depression from point B to point C is $35^{\circ}$. If the distance from A to C is $20$ miles. The distance between A and B is 
Question 6 :
If the given object is above the level of the observer, then the angle by which the observer raises his head is called _____.
Question 7 :
<br>On the level ground the angle of elevation of the top of a tower is $30^{0 }$ On moving 20 metres nearer tower, the angle of elevation is found to be $60^{0}$ The height of the towerin metres is<br>
Question 8 :
Two points at distance x and y from the base point are on the same side of the line passing through the base pf a tower. The angle of elevation from these two points to the top of the tower are complementary. Then, the height of the tower is :
Question 9 :
A man in a boat rowing away from a light-house $100m$ high, takes $2$ minutes to change the angle of elevation of the top of the light-house form ${60}^{o}$ to ${45}^{o}$. Find the speed of the boat.
Question 10 :
A man on the deck of a ship is $12m$ above water level. he observes that the angle of elevation, of the top of a cliff is ${45}^{o}$ and the angle of depression of its base is ${30}^{o}$. Calculate the distance of the cliff from the ship and the height of the cliff.
