From the top of a cliff, the angles of depression of the top and bottom of a tower are observed to be 45° and 60° respectively. If the height of the tower is 20 m, find :

(i) the height of the cliff.

(ii) the distance between the cliff and the tower.

A trader buys x identical articles for ₹ 600. If the cost per article were ₹ 5 more, the number of articles that can be bought for ₹ 600 would be four less. Find the value of x.

Construct a cyclic quadrilateral ABCD in which AC = 4.5 cm, ∠ABC = 45°, AB = 3 cm and AD = 2.3 cm.

The marks obtained by 120 students in a Mathematics test are given below :

Using the informations, given above draw an ogive on a graph sheet. Take a suitable scale for your ogive. Use the ogive to drawn to estimate :

(i) the median marks.

(ii) the number of students who obtained more than 75% marks in the test.

(iii) the number of students who did not pass in the test if the pass percentage was 40.