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kobiemajak
15.07.2019 •
Mathematics
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
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Ответ:
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:![105ft](/tpl/images/0092/9330/5377e.png)
Ответ:
sam :o
Step-by-step explanation: