Question

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

in
​

Answer 1

172.27 in

Explanation:

Apply the Sine Rule

Sine Rule is given as:

`(a)/(sin(A)) = (b)/(sin(B)) = (c)/(sin(C))`

c = x = ?

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

b = 130 in.

B = 48°

Plug in the values

`(130)/(sin(48)) = (x)/(sin(80))`

Multiply both sides by sin(80)

`(130*sin(80))/(sin(48)) = x`

172.274641 = x

x = 172.27 in. (to 2 decimal places)