Question

Type the correct answer in each box. Spell all words correctly.
Mike and Charlie are facing each other. There is a flagpole exactly halfway between them. Their line of sight to the top of the flagpole is 16 feet, with an angle of elevation of 60°.

Mike and Charlie both calculated the height of the flagpole as shown below.

Mike's Calculation Charlie's Calculation

Examine Mike and Charlie's calculations and complete the statement below.

The person with the incorrect reasoning for the height of the flagpole is
, because he incorrectly selected the
function, when he should have utilized the
function.

Answer 1

Answer:

Charlie is incoerre

Step-by-step explanation:

Given that :

Line of sight to top of flagpole = 16 feets

Angle of elevation = 60°

The height of the flagpole :

Applying trigonometry to the drawing in the attached picture :

We use:

Sinα = opposite / hypotenus

This enables us to use the value of the hypotenus (line of sight) to obtain the missing height value (h)

Sin(60°) = h / 16

h = 16 * sin 60

h = 16 * 0.8660254

h = 13.856406

Hence flagpole is about 13.86 feets high

Charlie's reasoning is incorrect, the line of sight constitutes the hypotenus and not Adjacent and hence, shoul