please help!! Nick wanted to determine the length of one bladeof the windmill pictured below. He stood at a pointon the ground 440 feet from the windmill's base.Using surveyor's tools, Nick measured the anglebetween the ground and the highest point reachedby the top blade and found it was 38.8°. He alsomeasured the angle between the ground and thelowest point of the top blade, and found it was 30°.38.830440 ftDetermine and state a blade's length, x, to thenearest foot.1 Add file

Name: please help!! Nick wanted to determine the length of one bladeof the w
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Description: please help!! Nick wanted to determine the length of one bladeof the windmill pictured below. He stood at a pointon the ground 440 feet from the windmill's base.Using surveyor's tools, Nick measured the anglebetween the ground and the highest point r

Answered: Nick wanted to determine the length of…

Trigonometry (MindTap Course List)

8th Edition

ISBN:9781305652224

Author:Charles P. McKeague, Mark D. Turner

Publisher:Charles P. McKeague, Mark D. Turner

Chapter6: Equations

Section6.1: Solving Trigonometric Equations

Problem 94PS

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please help!!

Nick wanted to determine the length of one blade
of the windmill pictured below. He stood at a point
on the ground 440 feet from the windmill's base.
Using surveyor's tools, Nick measured the angle
between the ground and the highest point reached
by the top blade and found it was 38.8°. He also
measured the angle between the ground and the
lowest point of the top blade, and found it was 30°.
38.8
30
440 ft
Determine and state a blade's length, x, to the
nearest foot.
1 Add file

Expert Solution

Step 1

Given Data:

The distance between the Nick and base of windmill is: d=440 ft

The angle between the top of the top blade and the ground is: $α = 38.8 °$

The angle between the lowest point of the top blade and the ground is: $β = 30 °$

Let h is the height of the lowest point of the top blade from the ground and H is the height of the top blade from the ground.

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