Answer:
1. θ = 34.85°
2. x = 36.31°
3. x = 39.80°
Explanation:
1. Determination of θ.
Adjacent = 11.9
Hypothenus = 14.5
Angle θ =?
Cos θ = Adjacent /Hypothenus
Cos θ = 11.9 / 14.5
Cos θ = 0.8207
Take the inverse of Cos
θ = Cos¯¹ 0.8207
θ = 34.85°
2. Determination of x
Opposite = 9 m
Hypothenus = 15.2 m
Angle x =?
Sine x = Opposite /Hypothenus
Sine x = 9 / 15.2
Sine x = 0.5921
Take the inverse of Sine
x = Sine¯¹ 0.5921
x = 36.31°
3. Determination of x
Opposite = 10 in
Adjacent = 12 in
Angle x =?
Tan x = Opposite / Adjacent
Tan x = 10 / 12
Tan x = 0.8333
Take the inverse of Tan
x = Tan¯¹ 0.8333
x = 39.80°