Answer:
12 ft
Explanation:
From the question given above, the following data were obtained:
Angle θ = 41.5°
Opposite = 8 ft
Length of handrail =?
We can obtain the length of the handrail by calculating the Hypothenus. This can be obtained as follow:
Angle θ = 41.5°
Opposite = 8 ft
Hypothenus =?
Sine θ = Opposite /Hypothenus
Sine 41.5 = 8 / Hypothenus
0.6626 = 8 / Hypothenus
Cross multiply
0.6626 × Hypothenus = 8
Divide both side by 0.6626
Hypothenus = 8 / 0.6626
Hypothenus = 12 ft
Thus, the Lenght of the handrail is 12 ft