Answer:
IJ ≈ 46. 20 ft
Step-by-step explanation:
The triangle is ΔHIJ . The measure of ∠J=90 , the measure of ∠I=60° , and JH = 80 ft. The length IJ can be calculated below.
The illustration above forms a right angle triangle at angle J. Therefore the triangle has an hypotenuse side, opposite side and adjacent side.
opposite side = JH= 80 ft
adjacent side = IJ = ?
hypotenuse side = HI
Using SOHCAHTOA principle
we want to find the adjacent side
tan 60° = opposite/adjacent
tan 60° = 80/IJ
cross multiply
IJ tan 60° = 80
divide both sides by tan 60°
IJ = 80/tan 60°
IJ = 80/1.73205080757
IJ = 46.1880215352
IJ ≈ 46. 20 ft
