Question

question 1 (mandatory) (1 point)
which trigonometric tools must be used to determine the length of x in the diagram shown?

a) the sine law and the tangent ratio
b) the cosine law and the tangent ratio
c) the sine and cosine laws
d) the sine and tangent ratios

Explanation:

Step1: Analyze the triangle

First, we need to find a side in the non - right triangle. For a non - right triangle with two angles and one side known, we use the sine law. The sine law is given by \(\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}\).

Step2: Consider the right - triangle part

After finding a side (let's say \(y\)) using the sine law in the non - right triangle, we then have a right - triangle where we can use the tangent ratio. The tangent ratio is \(\tan\theta=\frac{\text{opposite}}{\text{adjacent}}\).

Answer:

A. the sine law and the tangent ratio