Answer:
IJ = 68.6 feet
Explanation:
In ΔHIJ, the measure of ∠J=90°, the measure of ∠H=84°, and HI = 69 feet. Find the length of IJ to the nearest tenth of a foot.
We solve the above question using the Trigonometric function of Sine
sin x = Opposite/Hypotenuse
x = ∠H=84°
Opposite = IJ
Hypotenuse = HI = 69 feet.
Hence
sin 84 = IJ/69
Cross Multiply
IJ = sin 84 × 69
IJ = 68.62201078 feet
Approximately = 68.6 feet