Answer:
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.
Answer:
19mph
Step-by-step explanation:
Divide 57 by 3 and you'll get 19mph - the average speed.
A ratio compares two quantities.
How may days are in May? <span>31
How many days in a year? </span>365
Now, we are being asked to compare may to a year.
Answer: 31 to 365
Now, the other is easy also.
A triangle has 3 sides, and a square has 4.
Answer: 3 to 4
Find equal ratio's
8/12 = 2/3 = 4/6 = 16/24
20/25 = 4/5 = 40/50 = 80/100
Done! Enjoy! :) I hope I helped your son. Take care.
Answer:
64
Step-by-step explanation:
(8)^2
64
Answer:

Step-by-step explanation:
We have three similar triangles:

therefore the sides are in proportion:

We have AD = a, CD = 16 and BD = 4. Substitute:
<em>cross multiply</em>

and other proportion:

We have AB = b, BC = 16 + 4 = 20 and BD = 4. Substitute:
<em>cross multiply</em>
