Question

Solve angle X to 1 dp

Answer 1

Answer:

x ≈ 57.8°

Step-by-step explanation:

using the Sine rule in the triangle

$\frac{11}{sinx}$ = $\frac{8}{sin38}$ ( cross- multiply )

8 × sinx = 11 × sin38° ( divide both sides by 8 )

sinx = $\frac{11sin38}{8}$ , then

x = $sin^{-1}$ ( $\frac{11sin38}{8}$ ) ≈ 57.8° ( to 1 dec. place )