Question

Determine the length of x in the triangle. Give your answer to two decimal places. You may use the Desmos scientific calculator:

Answer 1

35.09

Explanation:

From the question given above, the following data were:

Opposite = 12

Hypothenus = X

Angle θ = 20 °

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

Sine θ = Opposite / Hypothenus

Sine 20 = 12 / X

0.342 = 12 / X

Cross multiply

0.342 × X = 12

Divide both side by 0.342

X = 12 / 0.342

X = 35.09

Thus, the value of X is 35.09