Mahabir Singh Solutions for Chapter: Some Applications of Trigonometry, Exercise 3: ACHIEVERS SECTION (HOTS)

Two stations due to south of a leaning tower, which leans towards the north, are at distance $a$ and $b$ from its foot. If $x$and $y$are the angles of elevations of the tops of the tower from these stations then its inclination $\theta$ to horizontal is given by $cot\theta =$

If the angle of elevation of a cloud from a point $h$ metre above a lake is $x$ and the angle of depression of its reflection in the lake is $y$, then the distance of the cloud from the point of observation is

The angle of elevation of cliff from a fixed point A is $45°$. After going up a distance of $600$ metres towards the top of the cliff at an inclination of $30°$, it is found that the angle of elevation is $60°$. Find the height of the cliff.

An angle of elevation of an aeroplane from a point on the ground is $45°$. After a flight of $10$ sec, the elevation changes to $30°$. If the aeroplane is flying at a height of $3 \mathrm{km}$, find the speed of aeroplane.

The angle of depressions of the top and bottom of $10$ meter tall building from the top of a multi storied building are $30°$ and $60°$ respectively. Find the height of the multi storied building and the distance between the two buildings.