The sides of a parallelogram are 20 feet and 40 feet long, and the smaller angle has a measure of 60°. find the length of the longer diagonal to the nearest whole number.

Length of the longer diagonal is 53 feet.

Step-by-step explanation:

We are given that,

Dimensions of the parallelogram is 40 feet and 20 feet and the smaller angle is 60°.

Let, the length of the diagonal be 'x' feet.

As the smaller angle is 60°, then the larger angle will be = = = 120°

Using the Law of Cosines for the triangle made by the diagonal, we have,

i.e.

i.e.

i.e.

i.e. x= 53 feet

Thus, the length of the longer diagonal is 53 feet.

answer: two angles are called supplementary if they add up to 180°. example: the two angles (140° and 40°) are supplementary because they add up to 180°.

step-by-step explanation:

-4, -2, 1, 4

step-by-step explanation:

domain = x values

range = y values