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Find the value ofx. Ring to the nearest tenth. Illustration not come scale.

You are watching: Find the value of x. round the length to the nearest tenth.

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An technician is surveying a structure with a an equipment that is 5 feet above the ground. The is 50 feet indigenous the building and also is looking through an edge of elevation of 50°. Just how tall is the building?
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Find the worth ofx. Ring the lengths come the nearest tenth. Drawing are no to scale.
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composite-functionsx-coordinatesvertex-of-a-trianglepythagorean-theoremtriangle-side-lengthsaskedSep 25, 2014in TRIGONOMETRYby tonymatePupil
please log in or it is registered to add a comment. please log in or register to answer this question. 3 answers 0 votesBest answer

1)

Recall the simple trigonometric ratios

cos(θ) = nearby side/Hypotenuse

cos(36o) = x/10

0.809 = x/10

x =10*0.809

x = 8.09

x ≈ 8.1

Option D is correct.


answeredSep 25, 2014by bradelyMentorselectedSep 25, 2014by tonymate please log in or register to include a comment. +1 vote

2)

Draw the diagram:

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Height the the structure x = BD+ DF = 5 + +DF

Find the value of DF from the △ DEF.

Recall the basic trigonometric ratios

tan(θ) = opposite side/Adjecent side

tan(50o) = DF/50

1.192 = DF/50

DF =50*1.192

DF = 59.59

Height that the building x = 5 + +DF = 5 + 59.59 = 64.59

x =64.59

Option A is correct.

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answeredSep 25, 2014by bradelyMentor you re welcome log in or it is registered to include a comment. +1 vote

Recall the straightforward trigonometric ratios

cos(θ) = nearby side/Hypotenuse

cos(44o) = x/11

0.719 = x/11

x =11*0.719

x = 7.913

x ≈7.9

Option D is correct.

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