### Home > PC > Chapter 1 > Lesson 1.4.2 > Problem1-148

1-148.

Find the value of $x$ in each triangle below.

1. Set up a ratio using the tangent function.

b.

Find the 3rd angle. Then use the Law of Sines.

1. You do not have an angle with an opposite side. So use the Law of Cosines.

$≈ 11.72$

1. Drop a perpendicular line from angle F to AC.

Using the sine function, find h in terms of the sin $28°$ and $x$.

Set the area

$(60) = \frac{1}{2}\text{(base)(height)}$

$≈ 17.04 \text{ cm}$