Question

If x = 45, y = 63, and the measure of AC = 4 units, what is the difference in length between segments AB and AD? Round your answer to the nearest hundredth.

0.74 units

1.17 units

1.64 units

2.14 units

Answer 1

1.17

Explanation:

(MUCH BETTER!)

From the definition of the sin of an angle, you know:

sin(45°) = AC/AB = 4/AB ⇒ AB = 4/sin(45°) ≈ 5.6569

sin(63°) = AC/AD = 4/AD ⇒ AD = 4/sin(63°) ≈ 4.4893

Then the difference AB-AD is:

AB -AD = 5.6569 -4.4893 = 1.1676

AB -AD ≈ 1.17 units

Sorry this took me so long to answer!