Cheryl is making homemade fruit soda. she needs 14 pints of fruit juices and club soda for her recipe . how many quarts of homemade fruit soda does cheryl make

Step-by-step explanation:

Here you have a right triangle with the side lengths 24 and 29 and are asked to find the measure of the smallest angle.

In cases like this you should ask yourself which trig function includes the lengths of the legs (that is, the lengths of the side opposite the angle and the side adjacent to the angle).  That would be the tangent function, and so:

tan (?) = (opposite side) / (adjacent side)

Here, tan x = 24/29 = 0.691.  Note:  I used my TI-83Plus calculator to determine that the measure of angle x in radians is 0.691.

The unknown angle is 0.691 radians, or (multiplying that by the conversion factor (180/pi) ) 39.6 degrees.  To the nearest degree, that'd be 40 degrees.