(10 A person flying a kite has released 123 ft of string. The string makes an
angle of 21 degrees with the ground. How high
is the kite ?

The kite is about 44.1 feet high.

Step-by-step explanation

Since you are trying to find the height, you would draw a triangle to diagram which sides you need to use. The 123 ft of string would be the hypotenuse of the triangle while the 21 degrees is the theta. You are trying to find the height and from the theta that would be the opposite side so you would use sine because you are using opposite and hypotenuse.

sin21=x/123

You have sin of 21 because that is the angle measure, then opposite over hypotenuse which is x/123.

You then multiply both sides by 123 to get the variable of x alone on one side.

123sin21=x

Then just plug this into your calculator and round to the nearest tenth and you get 44.1 feet.

Hope this helped explain how to do these problems, I had trouble doing them awhile back in Algebra 2 so hope this helped out a little.

n=9

step-by-step explanation:

7 times a number = 7n

decreased by 13 = 7n-13

same as is =

5 times the number = 5n

increased by 5 = 5n+5

7n-13 = 5n+5

2n=18

n=9

c. side angle side. u shares the same sides