Question

use one of the triangles to approximate the ratio (\frac{}{wx}).
x
y
w
70°
choose 1 answer:
a 0.34
b 0.94
c 1.06
d 2.76

Explanation:

Step1: Identify relevant trig - ratio

In right - triangle \(WXY\) with right - angle at \(Y\), if we want to find the ratio related to the given parts and angle, we can use the cosine function. \(\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}\). Here, \(\theta = 70^{\circ}\) and \(\cos70^{\circ}=\frac{WY}{WX}\).

Step2: Find the value of \(\cos70^{\circ}\)

We know that \(\cos70^{\circ}\approx0.34\) (using a scientific calculator or trigonometric table).

Answer:

A. 0.34