Answer: x=18, R=20 degrees,
sin Q=3/5
cos Q=4/5
tan Q=3/4
sec Q=5/4
csc Q=5/3
cot Q=4/3
Explanation:
Distance formula: a^2+b^2=c^2
30^2=24^2+x^2
900=576+x^2
x^2=324
x=18
180=P+Q+R
180=90+70+R
180=160+R
R=20 degrees
sin Q=18/30=3/5
cos Q=24/30=4/5
tan Q=18/24=3/4
sec Q=30/24=5/4
csc Q=30/18=5/3
cot Q=24/18=4/3