From the diagram which of the following is true?

An object is 6m from the base of a mast. If the angle of depression of the object from the top of the mast is 50^o, find, correct to 2 decimal places, the height of the mast

In the diagram $\overline{MN}$is a chord of a circle KMN centre O and radius 10cm. If $\angle MON={{140}^{\circ }}$, find, correct to the nearest cm, the length of the chord MN

Halima is n years old. Her brother’s age is 5 years more half of her age. How old is her brother?

The ratio of the exterior angle to the interior angle of a regular polygon 1:11. How many sides has the polygon? 

Find the next three terms of the sequence: 0, 1, 2, 3, 5, 8, ….

The relation $y={{x}^{2}}+2x+k$passes through (2,0). Find the value of k 

A bag contains 5 red and 4 blue identical balls. If two balls are selected at random from the bag, one after the other, with replacement, find the probability that the is red and the second blue 

In the diagram, O  is the centre of the circle $\angle QPS={{100}^{\circ }},\text{ }\angle PSQ={{60}^{\circ }}\text{ and }\angle QSR={{80}^{\circ }}$ Calculate $\angle SQR$