Final answer:
To find ad, we use the sine function in triangles ABC and ACD. We find that ad is approximately 1.154 cm.
Step-by-step explanation:
To find ad, we need to find the length of ad. Since triangle ABC is a right triangle with angle ACB = 90°, we can use the sine function to find the lengths of the sides. Let's use side bc as the reference and apply the sine function in triangle ABC:
sin(ACB) = bc / ac
sin(90°) = 6 / ac
Since sin(90°) = 1, we have:
1 = 6 / ac
ac = 6
Now, let's use side cd as the reference and apply the sine function in triangle ACD:
sin(ACD) = cd / ad
sin(60°) = 1 / ad
ad = 1 / sin(60°)
Using the value of sin(60°) ≈ 0.866, we have:
ad ≈ 1 / 0.866
ad ≈ 1.154 cm