Answer: x = 19.42, y = 18.47, z = 18°
Step-by-step explanation:
This is assumed to be a 90° triangle so you can use Soh Cah Toa to answer the questions. You must use a calculator for the last step.
[tex]cos\theta=\dfrac{adjacent}{hypotenuse}\implies cos72^o=\dfrac{6}{x}\implies x=\dfrac{6}{cos72^o}\implies x=19.42\\\\\\tan\theta=\dfrac{opposite}{adjacent}\implies tan72^o=\dfrac{y}{6}\implies y=6\ tan72^o}\implies y=18.47\\\\[/tex]
Use Triangle Sum Theorem to find the angle measure of z:
90° + 72° + z = 180°
162° + z = 180°
z = 18°
