Answer:
b. 9
Step-by-step explanation:
we use cosine since the given information is for adjcent and hypotenuse
cos(degree) = adj. / hyp.
cos(53°) = x / 15
Multiply both side by 15 to get x alone
cos(53°) *15 = x / 15 *15
x = 15cos(53°)
x = 9.02722
USING SIN TO CHECK WORK:
Total degree of a triangle = 180°
we have 2, 53 and 90
53 + y + 90 = 180 y = 37°
to use sine, the information needed is opposite and hypotenuse
sin(degree) = opp. / hyp.
sin(37°) = x / 15
Multiply both side by 15 to get x alone
sin(37°) *15 = x / 15 *15
x = 15sin(37°)
x = 9.02722
THEY MATCH!!!
Hope this helps, Let me know if you have any questions !
