2. how many pencils are in a dozen pencils?
3. write two forms of the conversion factor that will convert a dozen to number of
objects and number of objects to dozen.
4. using the appropriate conversion factor in #2, convert 3.75 dozen eggs to number of
eggs.
5. using the appropriate conversion factor in #2, convert 248 eggs into dozens of eggs.
6. similarly, the mole (mol) is a unit for counting objects. it is especially useful for
counting tiny objects like atoms, molecules, ions, and formula-units.

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