A child is flying a kite, K. A student at point B, located 100. meters away from point A (directly underneath the kite), measures the angle of elevation of the kite from the ground as 30.°
60. In the space provided above, use a metric ruler and protractor to draw a triangle representing the positions of the kite, K, and point A relative to point B that is given. Label points A and K. Use a scale of 1.0 centimeter = 10. meters.
61. Use a metric ruler and your scale diagram to determine the height, AK, of the kite.
62. A small lead sphere is dropped from the kite. Calculate the amount of time required for the sphere to fall to the ground. [Show all calculations, including the equation and substitution with units. Neglect air resistance.
Please help me I don’t understand the question.

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aristocles aristocles · Answer 1 · 2018-11-08T01:29:11+01:00

#61

as we know that

[tex]tan\theta = \frac{height}{base}[/tex]

[tex]tan30 = \frac{AK}{100}[/tex]

[tex]AK = 100 tan30[/tex]

[tex]AK = 57.7 m[/tex]

#62

initial speed of the sphere = 0 as it is dropped

initial height of the ball = AK = 57.7 m

now by calculations

[tex]d = v_i* t + \frac{1}{2}at^2[/tex]

[tex]57.7 = 0 + \frac{1}{2}*9.8*t^2[/tex]

[tex]57.7 = 4.9t^2[/tex]

[tex]t = 3.43 s[/tex]

so it will take 3.43 s to reach the ground

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