The shadow of a pole $5\sqrt{3}m$high is 5m. Find the angle of elevation of the sun

P, R and S lies on a circle centre O as shown above, while Q lies outside the circle. Find $\angle$PSO

Find the value of x in the figure above

PQRSTV is a regular of side 7cm inscribed in a circle. Find the circumference of the circle PQRSTV  [$\pi =\tfrac{22}{7}$] 

Find the midpoint of the line joining  P(–3,5)  and Q (5, –3)

In the diagram above, PQ = 4cm and TS = 6cm, if the area of parallelogram PQTU is 32 cm², Find the area of trapezium PQRU

The sum of the interior angles of a pentagon is 6x + 6y. Find y in term of x 

Find the value of ${{\alpha }^{2}}+{{\beta }^{2}}$ if $\alpha +\beta =2$and the distance between the points $(1,\alpha \text{ )and (}\beta ,1)$is 3 units

An arc of a circle of length 22cm subtends an angle of 3x^o at the centre of the circle. Find the value of x if the diameter of the circle is 14cm. [$\pi =\tfrac{22}{7}$]