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Kite Distance Above the Ground

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xyz_1965

Member
Jul 26, 2020
81
Kaila is flying a kite whose string is making a 70° angle with the ground. The kite string is 65 meters long. How far is the kite above the ground?

I am thinking the sine function.

sin (70°) = h/65, where h is the distance of the kite above the ground.

sin (70°)(65) = h

27.08617 = h

I will say the kite is 27 meters above the ground.
 

MarkFL

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Feb 24, 2012
13,775
Do you have your calculator in degree mode?
 
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xyz_1965

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Jul 26, 2020
81

MarkFL

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Feb 24, 2012
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Try evaluating the expression again...
 
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xyz_1965

Member
Jul 26, 2020
81
Try evaluating the expression again...
sin (70°)(65) = 50.3028943013 in radians mode.

I say the answer is 50 meters.
 

MarkFL

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Feb 24, 2012
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I'm getting a different number.
 
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xyz_1965

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Jul 26, 2020
81

MarkFL

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Feb 24, 2012
13,775
What number are you getting? Show me your set up.
Your expression is correct, but your numeric evaluation of that expression differs from mine.
 
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xyz_1965

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Jul 26, 2020
81
Your expression is correct, but your numeric evaluation of that expression differs from mine.
Show me what you did.
 

MarkFL

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skeeter

Well-known member
MHB Math Helper
Mar 1, 2012
697
65sin(70).png
 

skeeter

Well-known member
MHB Math Helper
Mar 1, 2012
697
sin (70°)(65) = 50.3028943013 in radians mode.

I say the answer is 50 meters.
your argument for sine is 70 degrees ... you need to be in degree mode.
 

xyz_1965

Member
Jul 26, 2020
81

xyz_1965

Member
Jul 26, 2020
81

xyz_1965

Member
Jul 26, 2020
81

MarkFL

Administrator
Staff member
Feb 24, 2012
13,775

xyz_1965

Member
Jul 26, 2020
81

xyz_1965

Member
Jul 26, 2020
81
Ha! Ha!