Answer:
58°
Step-by-step explanation:
A right triangle can be drawn to model the geometry of the problem. The hypotenuse of the triangle is the length of the string, 100 ft. The side opposite the angle is the height of the kite above the ground, 85 ft.
The mnemonic SOH CAH TOA reminds you of the relationship between sides and angles.
Sin = Opposite/Hypotenuse
sin(α) = (85 ft)/(100 ft) = 0.85
The angle whose sine is 0.85 is found using the arcsine (inverse sine) function:
α = arcsin(0.85) ≈ 58.2°
The angle of elevation is about 58°.
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When using your calculator to find the values of inverse trig functions, make sure it is in <em>degrees</em> mode. Otherwise, you're likely to get the answer in radians (≈ 1.01599 radians).
If a graph is proportional then the line will go through the origin at point (0, 0). If the equation is proportional then it will be in the form of y=kx with no other operations after. The constant of proportionality is another way to say the slope and in your specific equation the slope would be 1/5.
Your question to that answer is irrational
Answer:
<em>Jack scored a total of -40</em>
Step-by-step explanation:
<u>Arithmetic</u>
Jack took a test where the correct answers are given as positive numbers and the incorrect answers are negative numbers.
The scores were
-65,-10,-15,20,30
The total score is the arithmetic sum of all scores, including their signs:
Total score: -65-10-15+20+30
Total score: -40
Jack scored a total of -40
19.2740122 fluid ounces = 570 milliliters. I'm positive this really is the answer. :)
