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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.

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.

2)

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(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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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.