Answer:
x = .3
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
![tan(84)=(2.9)/(x)](https://img.qammunity.org/2022/formulas/mathematics/high-school/lwx6yrk1d9lf7iqihfoz2rgvxptx9soce6.png)
we now solve for x
step 1: multiply each side by x
![tan(84)*x=xtan(84)\\(2.9)/(x) *x=2.9\\xtan(84)=2.9](https://img.qammunity.org/2022/formulas/mathematics/high-school/sa6fp523epx7f193vthgi6h8zek8ra7hnm.png)
step 2: divide each side by tan(84)
![(xtan(84))/(tan(84)) =x\\(2.9)/(tan(84)) =0.3048022823\\x=0.3048022823](https://img.qammunity.org/2022/formulas/mathematics/high-school/2vkxro6m7j9jkloermk53cw5onh2v0lj7f.png)
finally we round to the nearest tenth of a foot and get that x = .3