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Bob is told that the pitch on the roof of his garage is 5-12, meaning that for every 5 feet the roof increases vertically, it increases 12 feet horizontally. if θ is defined as the angle at the corner of the roof formed by the pitch of the roof and a horizontal line, what is sinθ?

Respuesta :

calculista

Answer:

[tex]sin(\theta)=\frac{5}{13}[/tex]

Step-by-step explanation:

step 1

Find the hypotenuse of the right triangle with legs of 5 ft and 12 ft

Applying the Pythagoras Theorem

Let

d ----> the length of the hypotenuse

[tex]d^{2}=12^2+5^2[/tex]

[tex]d^{2}=169[/tex]

[tex]d=13\ ft[/tex]

step 2

Find the sine of angle theta

Remember that

The sine of angle theta is equal to divide the opposite side of angle theta (5 feet) by the hypotenuse (13 feet)

[tex]sin(\theta)=\frac{5}{13}[/tex]

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