Tamil Nadu Board Solutions for Chapter: Trigonometry, Exercise 10: Exercise 6.5

$(1+\tan \theta +\sec \theta )(1+\cot \theta -cosec \theta )$ is equal to

$a \cot \theta +bcosec \theta =p$ and $b \cot \theta +a cosec \theta =q$ then $p^2-q^2$ is equal to

If the ratio of the height of a tower and the length of its shadow is $\sqrt{3}:1$, then the angle of elevation of the sun has measure

The electric pole subtends an angle of $30°$ at a point on the same level as its foot. At a second point $\text{'}b\text{'}$ $\mathrm{metres}$ above the first, the depression of the foot of the pole is $60°$. The height of the pole (in $\mathrm{metres}$) is equal to

A tower is $60 \mathrm{m}$ height. Its shadow is $x$ metres shorter when the sun's altitude is $45°$ than when it has been $30°$, then $x$ is equal to

Use $\sqrt{3}=1.732$

The angle of depression of the top and bottom of $20 \mathrm{m}$ tall building from the top of a multi-storied building are $30°$ and $60°$ respectively. The height of the multi-storied building and the distance between two buildings (in metres) is

Two persons are standing $\text{'}x\text{'}$ metres apart from each other and the height of the first person is double that of the other. If from the middle point of the line joining their feet an observer finds the angular elevations of their tops to be complementary, then the height of the shorter person (in metres) is

The angle of elevation of a cloud from a point $h$ metres above a lake is $\beta$. The angle of depression of its reflection in the lake is $45°$. The height of location of the cloud from the lake is