Question

I need help with trigonometry

Answer 1

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\°`