Manipur Board Solutions for Chapter: Trigonometry, Exercise 1: EXERCISE 13.1

Express $\frac{3{\mathrm{\pi }}^{\mathrm{c}}}{4}$ into number of degrees.
 

Express $\frac{2}{3}{\mathrm{\pi }}^{\mathrm{c}}$ into the number of degrees.

Find the angle between the hour hand and minute hands of a clock when it is $15$ minutes past $3 \mathrm{a}.\mathrm{m}$. Express it in all three systems of measurement.

When the angles of a triangle are measured in the sexagesimal system their magnitudes are in the ratio $2:3:4$. Find the angle sin the radians.

Find the magnitude of internal angle of regular polygon of $20$ sides. Express it in degrees and radians.

A certain building subtends an angle $14\text{'}$ at a point on the ground $2700 \mathrm{m}$ away from the building. Find approximately height of the building in $\mathrm{m}$.

Find the ratio of the radii of two circles at the centres of which two arcs of the same length subtend $24° \mathrm{and} 15°$.

The length of minute hand is $21 \mathrm{cm}$. Find the distance described by its tip in $20$ minutes in $\mathrm{cm}$.