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?

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

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)

hope this !

step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)

2 1/2 feet

step-by-step explanation: