Respuesta :

Answer:

b = 126.33 inches

Step-by-step explanation:

We need to find the measure of side b.

Here, c = 170 inches

[tex]\theta=42^{\circ}[/tex]

It can be calcuated using trigonometry as follows :

[tex]\cos\theta=\dfrac{B}{H}\ ({\text{B is base and H is hypotenuse)}\\\cos(42)=\dfrac{b}{170}\\\\b=\cos(42)\times 170\\\\b=126.33\ in[/tex]'

Hence, the length of b is 126.33 inches.