solve for x. round your answer to the nearest tenth if necessary.

Question

Triangle 1. Has the angles 54° at B, 51° at A, and 75° at C, with 16 and 17 on two of its sides.

Triangle 2. Has the angles 54° at E, 75° at 7, and 51° at D, with 45 at on side and x on another.

Solve x.

Answer 1

To solve for x in Triangle 2, we can use the Law of Sines:

sin(E)/45 = sin(D)/x

We are given that sin(E) = sin(54°) and sin(D) = sin(51°). Plug these values in and solve for x:

sin(54°)/45 = sin(51°)/x
x = (45 * sin(51°))/sin(54°)

Calculate the value of x:

x = (45 * 0.777)/(0.809)
x = 43.67

Therefore, x is approximately 43.7.