Question

Solve for the unknown in the following diagram. Round the answer to two decimal places.
in
​

Answer 1

Answer:

172.27 in

Step-by-step explanation:

Apply the Sine Rule

Sine Rule is given as:

$\frac{a}{sin(A)} = \frac{b}{sin(B)} = \frac{c}{sin(C)}$

c = x = ?

C = 180 - (52 + 48) = 80° (sum of triangle)

b = 130 in.

B = 48°

Plug in the values

$\frac{130}{sin(48)} = \frac{x}{sin(80)}$

Multiply both sides by sin(80)

$\frac{130*sin(80)}{sin(48)} = x$

172.274641 = x

x = 172.27 in. (to 2 decimal places)