Answer:
x = .3
Step-by-step explanation:
for ∠H we are given its opposite side length and need to find its adjacent side length
when dealing with opposite and adjacent we use tangent
recall that tan = opposite over adjacent
[tex]tan(84)=\frac{2.9}{x}[/tex]
we now solve for x
step 1: multiply each side by x
[tex]tan(84)*x=xtan(84)\\\frac{2.9}{x} *x=2.9\\xtan(84)=2.9[/tex]
step 2: divide each side by tan(84)
[tex]\frac{xtan(84)}{tan(84)} =x\\\frac{2.9}{tan(84)} =0.3048022823\\x=0.3048022823[/tex]
finally we round to the nearest tenth of a foot and get that x = .3
