Question

I need help with trigonometry

Answer 1

Answer:

In alphabetic order:

x can be found with pythagorean theorem, since triangle ADC is right in D.

$x= \sqrt {7^2-2.2^2} \approx 6.6$

y and z are 7 times respectively the sine and cosine of angle ACB.

$y= 7sin\ 52\° \approx 5.5\\z=7 cos\ 52\° \approx 4.3$

Finally, $\theta$  can be calculated by determining the arc sine (or inverse sine) of the ratio CD over AC

$\theta = sin^{-1} (\frac{2.2}7) \approx 18.3\°$