Inverse Trigonometry solve the questions below

1. θ = 34.85°

2. x = 36.31°

3. x = 39.80°

Step-by-step 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°

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,