The correct option is: 53.9°
<em><u>Explanation</u></em>
According to the below diagram, is acute triangle, in which
and
If we <u>apply cosine rule</u> here, then we will get.....
Now, plugging the given values, we will get....
So, the measure of is 53.9°
A swimming pool measures 35 feet wide by 50 feet long. What is the ratio of the length to the perimeter
<h3><u>Answer:</u></h3>The ratio of length to perimeter of pool is 5 : 17
<h3><u>Solution:</u></h3>Given that, swimming pool measures 35 feet wide by 50 feet long
Therefore,
Length = 50 feet
Width = 35 feet
Swimming pool is usually of rectangular shape
<em><u>The perimeter of rectangle is given as:</u></em>
Perimeter = 2(length + width)
Perimeter = 2(50 + 35)
Perimeter = 2(85) = 170
Thus perimeter of pool is 170 feet
<em><u>Ratio of length to perimeter:</u></em>
Thus ratio of length to perimeter of pool is 5 : 17