Question

Solve for the variable using Trig ratio.

Answer 1

Answer:

x = 3.86

a = 5.86

Step-by-step explanation:

From the triangles attached,

By applying cosine rule in triangle 1,

cos(50)° = $\frac{\text{Adjacent side}}{\text{Hypotenuse}}$

cos(50)° = $\frac{x}{6}$

x = 6cos(50)°

x = 3.86

Now we apply sine rule in the second triangle,

sin(23)° = $\frac{\text{Opposite side}}{\text{Hypotenuse}}$

sin(23)° = $\frac{a}{15}$

a = 15sin(23)°

a = 5.86