Answer:
Length of hypotenuse JH = 9.2 unit (Approx.)
Length of perpendicular JG = 6.5 unit
Step-by-step explanation:
Given:
Length of base GH = 6.5 unit
Angle of H = 45°
Find:
Length of perpendicular JG
Length of hypotenuse JH
Computation:
Using trigonometry function:
Tan θ = Perpendicular / Base
Tan 45 = Perpendicular / 6.5
1 = Perpendicular / 6.5
Perpendicular = 6.5
Length of perpendicular JG = 6.5 unit
hypotenuse = √perpendicular² + base²
Length of hypotenuse JH = √6.5² + 6.5²
Length of hypotenuse JH = √42.25 + 425.25
Length of hypotenuse JH = √84.5
Length of hypotenuse JH = 9.1923
Length of hypotenuse JH = 9.2 unit (Approx.)