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Rudiy27
3 years ago
6

Solve for the variable using Trig ratio.

Mathematics
1 answer:
SIZIF [17.4K]3 years ago
5 0

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

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