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).
Yu can you think how many triangles fit in that parallelogram? The answer is six. four in the central rectangle and two at the ends, then the area of the parallelogram will be six times greater than that of the triangle in that graph. Good luck! M.
Answer:
200 kg
Step-by-step explanation:
First hour he sold 15% <em>(remaining is 85%)</em>
Second hour he sold 20% of remaining <em>(which is 85%)</em> -- so he sold 
, which is 17% (remaining 85-17=68%)
Third hour he sold 25% of remaining <em>(which is 68%)</em> -- so he sold 
, which is 17%
In third hour he sold 34, so 17% is 34. To find total he initially had, we need to find (100%). We can setup the ratio (letting x equal his initial amount):
Initially the farm stand owner had 200 kg of apples.
