Question

In AOPQ, p = 38 cm, q = 29 cm and 20=39°. Find the length of o, to the nearest
centimeter.

Answer 1

Step-by-The length of o in the triangle AOP can be found using the Law of Cosines. The Law of Cosines states that for a triangle with sides a, b, and c and opposite angle C, the following formula holds:

c^2 = a^2 + b^2 - 2ab cos(C)

In this case, a = 38 cm, b = 29 cm, and C = 39°. The length of o can be found by rearranging the formula and solving for c:

c^2 = 38^2 + 29^2 - 2(38)(29) cos(39°)

c = sqrt(38^2 + 29^2 - 2(38)(29) cos(39°))

Using a calculator, we can find that c ≈ 47.3 cm, to the nearest centimeter, o = 47 cm.step explanation: