In AGHI, the measure of ZI=90', the measure of ZG-20', and IG = 98 feet. Find
the length of GH to the nearest tenth of a foot,
20
08

GH ≈ 104.3 ft

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos20° = = =

Multiply both sides by GH

GH × cos20° = 98 ( divide both sides by cos20° )

GH = ≈ 104.3 ft ( to the nearest tenth )

GH = 104.3 ft

Step-by-step explanation:

You have a right triangle, so you can use a trig ratio: sine, cosine, or tangent.

You are given the measure of angle G and the length of leg IG. Side GH is the hypotenuse. For angle G, side IG is the adjacent leg. The trig ratio that relates the adjacent leg and the hypotenuse is the cosine.

GH = 104.3 ft

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

⭐dhruv⭐