Question

Find the value(s) of the variable(s). If necessary, round decimal answers to the nearest tenth.

Answer 1

x = 16.2

Explanation:

From the question given above, the following data were obtained:

Angle θ = 54°

Hypothenus = 20

Opposite = x =?

The value of x can be obtained by using the sine ratio as illustrated below:

Sine θ = Opposite / Hypothenus

Sine 54° = x / 20

Cross multiply

x = 20 × Sine 54

x = 20 × 0.8090

x = 16.2

Thus, the value of x is 16.2