SOLUTION: San us flying a kite she has let out the string to length 210 metres , the string makes an angle of 48 degrees with the horizontal . The string taut and Sam's hand is 1.45 metres a

Question 694555: San us flying a kite she has let out the string to length 210 metres , the string makes an angle of 48 degrees with the horizontal . The string taut and Sam's hand is 1.45 metres above the ground.
a) What is the vertical distance between Sam;s hand and the kite?
b) How high is the kite above the ground?
Can you please help me I really don't understand? Thanks in advance:)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
San us flying a kite she has let out the string to length 210 metres , the string makes an angle of 48 degrees with the horizontal . The string taut and Sam's hand is 1.45 metres above the ground.
Draw the picture:
You have a right triangle with hypotenuse = 210 and angle opposite
the height = 48 degrees.
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a) What is the vertical distance between Sam;s hand and the kite?
Let the vertical distance be "h":
sin(48) = h/210
h = 210*sin(48) = 156.06 metres
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b) How high is the kite above the ground?
Ans: 156.06+1.45 = 157.51 metres
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Cheers,
Stan H.
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