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).
Answer:
11 and 11
Step-by-step explanation:
brainliest^:)
Answer: the 20 fluid ounces is better
Step-by-step explanation:
If you divide 20 by 4.40 that is 4.54 but if you divide 24 by 4.80 that is 5. You want to divide 20 by 4.40 because 20 is the fluid ounces and 4.40 is the money divide that to get the cost per fluid ounce then you do the same with the 24 fluid ounces and by doing that you get the sot for 1 fluid ounce then look at both of your answers and see which one is less. which one is less is the better one.
Answer:
i = 75.7°
h = 48.2°
Step-by-step explanation:
==>To find i, use the sine rule for finding angles: sin(A)/a = sin(B)/b
Where,
a = 7.2cm
sin(A) = i
b = 6.5cm
sin(B) = sin(61) = 0.8746
Thus:
sin(A)/7.2 = 0.8746/6.5
Multiply both sides by 7.2
sin(A) = (0.8746*7.2)/6.5
sin(A) = 0.969 (3 s.f)
A = i° = sin^-1(0.969) = 75.7 (3 s.f)
==>To find h, use the Cosine rule for angles:
Cos(C) = (a²+b²-c²)/2ab
cos(C) = h°, a = 4, b = 4.5, c = 3.5
a² = 16
b² = 20.25
c² = 12.25
cos(C) = (16+20.25-12.25)/(2*4*4.5)
cos(C) = 24/36
cos(C) = 0.667 (3 s.f)
C = h° = cos^-1(0.667) = 48.2° (3 s.f)
Answer:
x = 12
Step-by-step explanation:
To solve this and show your work, you have to start of with the equation (3x - 6) = 30.
You then have to add 6 to both sides like this:
So then the 6 is cancelled out, and you are left with
3x = 36.
Now you just have to divide both sides by 3 like this:
Which cancels 3 out, and you are left with
x = 12.
