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irinina [24]
3 years ago
8

Find the value of each variable 13-17

Mathematics
1 answer:
Veronika [31]3 years ago
7 0

Answer:

Step-by-step explanation:

Question 13.

By applying cosine rule,

cos(45°) = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

\frac{1}{\sqrt{2} }=\frac{10}{y}

y = 10√2

By applying sine rule,

sin(45°) = \frac{\text{Opposite side}}{\text{Hypotenuse}}

\frac{1}{\sqrt{2} }=\frac{x}{y}

\frac{1}{\sqrt{2} }=\frac{x}{10\sqrt{2} }

x = 10

Question 15.

By applying sine rule,

sin(60°) = \frac{\text{Opposite side}}{\text{Hypotenuse}}

\frac{\sqrt{3} }{2}=\frac{y}{32}

y = 16√3

By applying cosine rule,

cos(60°) = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

\frac{1}{2}=\frac{x}{32}

x = 16

Question 17.

By applying sine rule,

sin(60°) = \frac{\text{Opposite side}}{\text{Hypotenuse}}

\frac{\sqrt{3} }{2}=\frac{11\sqrt{3} }{y}

y = 22

By applying cosine rule,

cos(60°) = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

\frac{1}{2}=\frac{x}{y}

\frac{1}{2}=\frac{x}{22}

x = 11

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