The roof of a factory rises vertically 7 ft through a horizontal run of 42 ft. what is the pitch of the roof?

The angle or pitch between the vertical run and horizontal run is approximately 9.1 degrees.

Data;

This is the inverse of the tangent between the horizontal distance to the vertical distance.

This can easily be calculated using trigonometric ratio SOHCAHTOA

Taking the tangent of the angle;

The angle or pitch between the vertical run and horizontal run is approximately 9.1 degrees.

Learn more on trigonometric ratios here;

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9.55 degrees.

step-by-step explanation:

the given angle is

1 cycle is equal to 2π radians. so 4π will be equal to two cycles.

5.166667π-4π = 1.166667π

hence, this angle goes a little more than negative x axis.

1.166667π-π= 0.166667π

hence, the reference angle is 0.166667π radians.

1 radian = 57.2958 degrees

now, in degrees, this should be equals to 9.55 degrees.

answer:

your answer is: c. 196 7/8 in^3.