Question

SOVing Problems With Right Triangles: Mastery Test

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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

sin(60) = Height

tan(60) = Height

16

6

Height = 16 sin(60°) Height = 16 tan(60)

213.86

ft

2771 ft

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

The person with the incorrect reasoning for the height of the flagpole is

when he should have utilized the

.because he incorrectly selected the

function,

function.

Net)

Reset

Answer 1

13.86 ft

Explanation:

This can be represented by a right angled triangle with a hypotenuse of 16 feet and an angle of 60° between the hypotenuse side and the adjacent side.

The height of the pole is the side opposite to the angle 60°.

The trigonometric function states that for a right angled triangle:

sinθ = opposite / hypotenuse, cosθ = adjacent / hypotenuse, tanθ = opposite/ adjacent

To find the height of the flagpole, we use:

sin(60) = height / 16

height = 16 * sin(60)

height = 13.86 ft

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