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:

ok

step-by-step explanation:

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