In ΔGHI, the measure of ∠I=90°, the measure of ∠G=21°, and GH = 31 feet. Find the length of IG to the nearest tenth of a foot. please help

28.9

Step-by-step explanation:

cosG=

hypotenuse

adjacent

=

31

x

\cos 21=\frac{x}{31}

cos21=

31

x

31\cos 21=x

31cos21=x

x=28.941\approx \mathbf{28.9}\text{ feet}

x=28.941≈28.9 feet

relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and powers of ten.

step-by-step explanation:

answer: the angel abc is 30°,and the abc is a triangle where the angel bac is 90°

so ac is the half of 24=12ft,and from the pythagorean theorem we find ba

ba=√bc^2-ac^2=√576-144=√432=12√3ft

so bac is 12+12√3=12(1+√3)ft