Mr. Fowler's science class grew two different varieties of plants as part of an experiment. When the plant samples
were fully grown, they compared their heights.
Plant variety Height of plant (inches) Mean Mean absolute
deviation (inches)
Variety A 16, 18, 19, 17, 20
18 1.2
Variety B 18, 11, 13, 13, 15
14. 2
Based on these data, which statement is true?
A. The average height of variety A is greater but varies less than that
of variety B.

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