Answer:
5.8ft
Step-by-step explanation:
Since one of the angle in ΔHIJ is 90°, the triangle is a right angled triangle.
Using the SOH, CAH, TOA identity in trigonometry.
Given ∠H=71°, ∠J=90°
∠I = 180-(90+71)
∠I = 180-161
∠I = 19°
Considering ∠I, the opposite side to the angle is JH. The side facing the right angle ∠J=90° will be the hypothenuse (HI).
Side JH which is he third side will be adjacent side.
Since JH = 2feet
Using TOA:
Tan∠I= Opposite/Adjacent
Tangent∠I = JH/IJ
Tan19° = 2/IJ
IJ = 2/tan19°
IJ = 5.8feet (to nearest tenth of a foot)
