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.

e^-kt = n/n0 = 0.79  

-kt = ln 0.79  

t = - ln 0.79/0.0001  

= 2357 years

step-by-step explanation: