Answer:
16.23
Explanation:
The measurements we will use are AC, AB and angle A.
Angle A will be the angle of reference (the angle we talk about).
AC is adjacent to angle A.
AB is hypotenuse.
Using the trig. ratios in the acronoym SohCahToa, we know the trig. ratio with adjacent and hypotenuse is in "Cah" for cosine, cos.
"a" means adjacent side.
"h" means hypotenuse.
cosA = cos52°
= adjacent / hypotenuse
= AC / AB
= 10/AB
cos52° is 0.616. Substitute cos52° for 0.616.
0.616 = 10/AB
(AB)0.616 = 10 Rearrange equation
AB = 10/0.616 Divide both sides by 0.616 to isolate AB
AB = 16.23 Answer rounded to 2 decimals