Question

Find the missing value. Show your work. please

Answer 1

#1

`sin(51^o)= (y)/(12) \ \ \to \ \ y=12*sin(51^o)=12* 0.7771 \approx 9.33`

#2

`\theta=arccos( (5^2+13^2-12^2)/(2*5*13)) = arccos( (25+169-144)/(130))=arccos( (50 )/(130))= \\ \\ arccos(0.3846) \approx67.4^o`

#3

`tan(13^o)= (x)/(24) \ \ \to \ \ x=24*tan(13^o)=24* 0.2309 \approx 5.54`

#4

`sin(20^o)= (10)/(x) \ \ \to \ \ x= (10)/(sin(20^o)) = (10)/(0.342) \approx 29.24`