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In GHI the measure angle I = 90° the measure of angle G = 5° and IG = 57 feet. Find the length of GH to the nearest tenth of a foot

User Iobender
by
6.0k points

2 Answers

4 votes

Answer: 57.2 feet

Explanation:

User Itanex
by
5.9k points
4 votes

Answer:

GH = 57.2 feet

Explanation:

Given the following

m<I = 90 degrees

<G = 5 degrees

IG = 57 feet

Required

Length of GH

According to the data given

GH is the hypotenuse

iG is the adjacent side to m<G

Cos theta = adj/hyp

Cos 5 = IG/GH

Cos 5 = 57/GH

GH = 57/cos 5

GH = 57/0.9962

GH = 57.2 feet