The sides of a parallelogram are 40 feet and 70 feet long, and the smaller angle has a measure of 36°. find the length of the longer diagonal to the nearest whole number. 44 ft 64 ft 69 ft 105 ft

1. Identify the parallelogram as .

2. The diagonal divides it into two congruent triangles, so let's take only the triangle , where is the diagonal.

3. Now, you must apply the Law of Cosines:

Where and is the angle between and .

4. and are suplementary. Therefore:

5. Substitute values into the formula:

The answer is:

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation:

7 ft 6 in means 7 1/2, because 6 in is 1/2 of a foot. 7 ft 8 in means 7 2/3 because 8 in is 2/3 of a foot. 23/3 = 7 2/3. 15/2 = 7 1/2.

23/3   *   15/2   = 57 1/2

step-by-step explanation: