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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.
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?
Find the worth ofx. Ring the lengths come the nearest tenth. Drawing are no to scale.
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
Recall the simple trigonometric ratios
cos(θ) = nearby side/Hypotenuse
cos(36o) = x/10
0.809 = x/10
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
Draw the diagram:
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 = 59.59
Height that the building x = 5 + +DF = 5 + 59.59 = 64.59
Option A is correct.
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Recall the straightforward trigonometric ratios
cos(θ) = nearby side/Hypotenuse
cos(44o) = x/11
0.719 = x/11
x = 7.913
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