Question

question 2 (mandatory) (1 point)
which trigonometric tool must be used to determine the length of x in the diagram shown?

a) the sine law
b) primary trigonometric ratios
c) the pythagorean theorem
d) two of the above are required

Explanation:

First, we need to find the length of the side adjacent to the \(47^{\circ}\) angle in the right - triangle where the hypotenuse is \(74\). We use the cosine ratio (\(\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}\)) to find this adjacent side. Then, we consider the other right - triangle with sides \(x\), the side we just found (let's call it \(y\)), and \(55\). We use the Pythagorean theorem (\(a^{2}+b^{2}=c^{2}\)) to find \(x\) (where \(c = 55\) and \(b=y\)). So two of the above (primary trigonometric ratios and the Pythagorean theorem) are required.

Answer:

d) two of the above are required