Following data reveals the usage of units of electricity by different consumers of a certain area: Units consumed 11-5051 - 100 101 - 150 151 - 200 201 - 250 251 - 300 Number of Users 24 168 84 44 (Frequency) 104 126 Table 2. Find the following for given data a) Arithmetic Mean. b) Median c) All Quartiles. d) 3rd and 9th Deciles. e) 18th and 76 Percentiles.

The formula used will be:

tan 42° = y/115

Step-by-step explanation:

Lets simplify the the question.

We have a boat which is situated at 115 meters away from a light house. It forms the base of the right angled triangle.

We need to find the distance from the bottom of the light house to the top of the light house. This distance is the height of the lighthouse, which forms the perpendicular side of the right angled triangle.

The distance between boat and top of the lighthouse is unknown, it forms the hypotenuse.

The angle of elevation, which is the angle between base and hypotenuse, is given as 42°.

The right angled formed is shown below.

We know that

tanθ = Perpendicular / Base

tan42 = height / 115

If height= y

tan 42° = y/115

Solve for y.

y = 103.55 meters